Gangbusters wife

I can see now that explaining what i had was not really smart of me, and i am sorry.
 
If you want to go UBNT, it is going to be too expensive for you.. 
 
https://www.amazon.com/dp/B06XY1GHP2/ref=psdc_1194486_t1_B00N2RO63U
 
this could be something simple for you, i don´t know if there is a POE injector in the box, but there should be..
 
so what you do is find your router, put a CAT cable from that into the POE injector, and then pull an ethernet cord to the access point outside, there will now both be data and power in that cord, and then setup the network, it is not fancy and MESH based, like a UBNT system, so it will be it´s own wifi (you can give it the same name, so items will switch over)..
 
But it will work, and support your ring setup. they have solutions with up to 15KM range, but i guess this should do..
 
if you end up buying into the ubnt solutions, they do become expensive, this is an entry level integration.
 
 

an external extender, is the best way to go, but it depends on what you believe that an arm and a leg is?..
 
Personally i run a UBNT setup with 2 Accesspoints, it gives me enough range, but i you could drag an ethernet cable outside, and just extend it with a outside accesspoint, for me that would be the best solution. 
 
but outdoor equipment, might need that you inject POE (power over ethernet)
 
but that makes it really easy because it is only one cable..
 
i also feel that my Ring setup is a bit picky with wifi, the cams complains a bit, but an internal inwall AP that extended my NanoHD solved my issues.

An AP is an Access point, Think wireless router but without the router, its basically just the wireless radios. In larger homes its best to use multiple AP's wired back to the router to get full WiFi coverage. @RasmusDC is using a setup from a company called Ubiquti Networks, they make prosumer/Small business grade and even some Enterprise grade equipment. I have seen on their Website that they have Access points that can fit in to the wall. My sister has the ring door bell and one of the security light cameras. She purchased a Google Mesh Router system, the 3 unit model so that she had WiFi strength for the security light camera. I can say that this would be way over your budget because the setup cost her like $300 USD.
 
Pro's
Extends WiFi Should be simple to setup Cons 
Cuts bandwidth in half  Needs to be placed close enough to router for good signal  Pros
Easy to setup If wiring in wall is good will most likely be more stable than WiFi  Can some times achieve faster speeds  Cons
Expensive ish Poor wiring means slow speeds to not working at all OK so people get confused here. Modems are basically the piece of equipment that allows you access to the world wide web. They are different from routers, as generally a standard modem has a hook up for the ISP wiring and 1 Ethernet port for a device connected to the internet. What you might be thinking about is a Gateway or router. A router allows you to share a single IP address given to you buy your ISP between multiple computers, and most routers will provide some WiFi connectivity. A gateway is a modem and router in one box, this is what most ISP's give their customers. Buying a new gateway, modem, router some times can help but not always. As WiFi is hugely affected by the environment is used in, Walls, other devices on the same frequencies, and even the weather to an extent can affect WiFi.