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I bought a Ubiquiti UniFi UAP-AC-LITE access point based on the advice @Velocio gave and it's amazing. Rock solid Wi-Fi, no problem with a dozen things being connected to it. This one:
https://www.amazon.co.uk/Ubiquiti-Networks-UAP-AC-LITE-Access-Point/dp/B016K4GQVGI didn't bother getting a UniFi router, I'm just using my ISP's. Wi-Fi is super fast, totally reliable and there's a good signal all around our flat as well as in it. Wouldn't go back...
@Velocio wrote a detailed post about setting up your own network which I copied and saved somewhere, which he extolled the jobs of ubiquiti stuff, as a long term alternative to the equipment broadband providers send you free when you sign up..