Hi Rod from, I think, Australia,
Actually I post to probably from a score to five score threads a day (give or take), but the nyms used for any one thread are so random that I don't even know what they are, given there are dozens at any one time changed randomly (although only one nym per thread, as a hard and fast rule - so that folks aren't confused - and every thread has all the detail needed for the thread topic to be valuable - which doesn't require a truthful nym - despite the very many nym-static morons who claim that to be the case).
If I respond to a thread that I recognize, I have to look at who I am at the moment, so that I respond with a consistent nym within a thread.
The many nym-static people (like you, we can presume) don't have this problem of remembering who they are, but you also are already pwned by the aggregators, for all eternity. :)
The purpose, of course, of dynamic-nym anonymity is privacy from lazy software-run robot aggregators - where I don't protect who I am in the body of the messsage from cognizant humans - but - of course - Jolly Roger always proclaims he's a veritable genius for figuring out the overtly obvious - and where - at least nospam is smart enough to understand the privacy algorithm (although he guesses people are me constantly, when I am not those people).
There are a lot of choices but the answer will be simpler than you think, because your basic parameters will likely be: a. Physical (what are your physical constraints) b. Power (how far are you going and through what (e.g., fresnel zone)) c. Noise (how noisy is your current environment to 2.4GHz)
All three are easy to handle given the base parameters of your setup.
For example, as you are likely aware, I receive my WiFi feed from a "neighbor" who is about 15 or 20 miles away by road and about 4 or 5 miles as the crow flies. We each use Ubiquiti Rocket M5's nowadays, but we used to use Ubiquiti Rocket M2s, and before that Ubiquiti PowerBeans and NanoBeams.
We, like many, find it best to match equipment on both sides, but you don't actually have to do that.
Obviously Ubuiquiti isn't the only brand (I've started using Mikrotic equipment recently, for example), but for price-to-performance (which you may be aware is that I care most about), you really can't go wrong with Ubiquiti equipment.
For something that short, almost anything will work. For example, I have a spare old desktop computer in a shed which is about 100 feet from the house, where I just plug into the desktop's ethernet port an old Mikrotik RB411 with a Mikrotik RB52n-M 2.4GHz/5GHz daughterboard, and an old spare antenna, both of which I was given by a neighbor who was throwing it away.
With that free setup, my desktop can connect to another "neighbor" within miles if I wanted to set the power to the maximum legal (and where the Mikrotik equipment can be set to any of over 200 countries in the world, if I wanted to).
Since I'm only going about 100 feet for that computer to my home router, I have the power on the Mikrotic dialed way down but it works just fine as a "wifi card" for the desktop which has only an Ethernet port and no wifi card.
The point of the description above is that it's easy to connect a PC to an access point that is literally miles away, if the other access point has the same transceiver - but if you're going from a tranceiver to the home router, the home router will limit how far - but even then, I get 100 feet but 150 may be too far for a home router, especially if walls are an obstacle).
I don't know the details of your physical situation (e.g., electricity, mounting requirements, size requirements, etc.), so I'll make basic assumptions that others can correct if necessary.
Since you're going less than a few hundred feet, almost any "paired" set of radios will work, so I'll recommend a cheap two-radio "set" for you and your neighbor to each use one.
All Ubiquiti radios will be weatherproofed, so the only thing we have to worry about with weather is mounting against high winds (which is what we get here in the mountains). We also weatherproof our routers, but that's only when we have routers in the middle of nowhere, which I don't think you have to worry about - since - I would assume - your router is inside the house, as is the router of your neighbor.
Assuming your house outside wall, which we will call wall1, is the home with the incoming Internet connection, I'd recommend an Ethernet cable running from your home router, which we'll call router1, to the radio on your outside back wall, which I'll call radio1. Likewise with your neighbor.
Also note that you can connect any Ubiquiti or Mikrotik access point to a computer (like I explained above) or, more commonly, to a router (which is what I will assume below) or even (less common) directly to the Internet (e.g., to the modem itself or to a switch connected to that modem).
I'll just assume you want to go from 1 router to the 2nd router but you can clarify in your response.
That Internet connection I'm assuming would be: ISP > wall1 > modem1 > router1 > wall1 > radio1 radio2 < wall2 < router2
In words, your incoming Internet connection (I assume "cable" but it really doesn't matter how you get Internet to house1) comes in from outside, and then usually goes to your modem and then to your router. From that router, you can have an Ethernet cable going back out through another wall to the radio which is mounted outside. (That radio can be mounted inside too but then it has to go through the wall - which - for 150 feet - is possible - but requires a stronger radio than I will be suggesting.)
From that outside radio in house1, you have a matching radio via line of sight on the wall of house2, where that matching radio is the feed into house2 of house2's Internet. From there it can go to a computer but I'll assume you want to go to a router.
The power to the radio will almost certainly be POE so don't worry about the power to the radio. Worry more about drilling holes and routing the Ethernet cable to that radio, since that cable has to go from the router to your radio in both homes. While you can make the router-to-radio connection a wireless connection (as I do in my shed), you're better off wired, which is simpler except for the physical part of running the cable.
Notice you have so many options that you have to clarify your needs, since you can go completely wifi with no cables, but I don't recommend that. You only want to be WiFi between the two homes, which can be miles apart as long as they can see each other by line of sight.
Since your distance requirement is so puny, every Ubuiquit radio will work. You mentioned 2.4GHz, but you could just as well use 5GHz. I use 5GHz almost exclusively now, but I'm in the Silicon Valley where, even in the mountains, the pollution is growing so 5GHz has noise advantages. In fact, just to be clear, what you use to connect your house to your neighbor's house can be *any* frequency, since all the radios have to do is be matched to each other.
The way I'd decide quickly between 2.4GHz or 5GHz would be that I'd check the price first (since both will work) and then I'd estimate the noise level (where 5GHz works best if you live in a noisy environment but it doesn't penetrate "stuff" as well) and then I'd estimate my re-use requirement (where 2.4GHz can be re-used far more easily than 5GHz since matching opportunities with future unknown radios will abound).
Personally, I prefer 2.4GHz since I like the re-use capability and where the minor price difference with 5GHz isn't really the deciding factor, although it's a plus. The 5GHz will only be needed if your 2.4GHz environment is too noisy, so I'd just run a survey on your Android phone of the pollution in your area.
(A plus of the Ubuiquiti AirOS operating system on the radios is that they all come with a spectrum analyzer, which is really neat and powerful. Here is a GIF picture of an analysis I ran years ago.)
HINT: My AirView pictures are all over the net, which is interesting as I come up in the front page in almost all DuckDuckGo searches (on almost any topic) whenever I search for stuff I've worked on - so lots and lots of people must be benefiting from my thousands of posted detailed pictures over the years.
Moving to recommendations, and given we've just selected 2.4GHz, and that we know almost any Ubiquiti radio set will work just fine, let's go for an inexpensive set for starter consideration.
I don't use the inexpensive Ubiquiti radios (because I most often have to connect two homes that are miles apart and when I need to connect only hundreds of feet, I always have spare radios lying around) so I have to look up what's best for you.
Any of the cheap radios (pico, nano, loco, etc.) should work fine but I have to look up which is for what since I use bullets and rockets mostly.
Looking them up, here's a comparison thread that was the first hit: