Adding a second router will work. You could also buy a wireless access point (AP), which is similar to a router, but does not do provide the routing part. It cannot connect to the internet on its own. But because the internet is already coming through the Ethernet link, it does not need to. The advantages are that it might be a little cheaper and you do not need to disable the routing part.
Regardless of which kind of device you chose, there are some issues you should take care of when configuring your second AP:
- Use another WiFi channel than the one in the house, and also another one than the neighbor is using as this will (in layman's terms) increase your performance.
- Use different SSIDs (name of the WiFi network). Your laptop's software might not like it if there are two APs with different MAC addresses that use the same SSID. You can try to do it anyway, and if it works, do it, as it saves you the need to create two profiles on each computer. Note that you will have to set the same security pass-phrase as well in that case.
- Disable the DHCP server on the new AP/router.
- Tell it to fetch its own IP address via DHCP or assign a fixed IP address from the same pool your current router is using, as well as the correct subnet mask.
- Set up security for your new WiFi!
Also note that this should work pretty much out of the box. There is no need to install custom software on the device. You only need to follow the manual to set up the configuration once.
Edit: Also, you do not need to buy the same brand. Netgear, Linksys, Cisco or even a cheap TP-Link will work together with what you already have. I use TP-Link whenever I set a new WiFi up for friends because the devices are very reasonable and get the job done. They are easy to set up and the customer service (in Germany, at least) is very professional.
A more technical approach would be to buy a bigger antenna, but that will probably not work. You could also buy several WiFi bridging devices that have two WiFi connections each and build a chain out of them to cover your whole property, but that is expensive and complicated. I would not recommend either of these two additional options.
A third option would be to use Cat7e cable, which is the fastest available Ethernet cable right now. It usually has a orange jacket and you can put it in the ground. (I've got in my walls together with power lines, works like a charm). It can handle gigabit LAN without problems. That way, you would never see it. But remember to shield the socket from rain and humidity. You could also talk to an electrician company that has experience with warehouse setups about it.