Pretty much ALL trainers today fly well and will do the job of getting you to the point of soloing.

Most any of the four name brand radios will work fine (Futaba, Hitec, JR and Airtronics). Go with one that's compatible with your instructor's.

There are many good reliable engines on the market. For easy running, relatively powerful, and fairly inexpensive, I'd suggest either a Thunder Tiger 46 Pro, or an Evolution 46.
Dennis-