Wireless radio channels from router and access point

[Schizophonic]

I have an Ubiquiti Access point (lite) attached to my home network via network cable to cover some dead spot in the house. My question is, should my radio on both my router and AP be the same? Would devices be smart enough to jump from one signal to another or will it hold on to it for as long as it can and have reduced bandwidth?

Or if someone can suggest a better setup how my wireless radio waves will overlap?

Thanks