I fly electric and just finished building an Eflite Yak 54. I have a park 370 outrunner brushless motor with a park 20 amp esc.
Brushless motors have 3 wires coming out from them. You must use a brushless esc to accept these wires. BTW, brushless is not cheap! The motor and esc for the above is roughly $100. As far as batteries, the lipoly pack plugs into the esc which in turn, the esc plugs into channel # 3 of your rx. No need for battery for rx as the esc handles it. Once the pack gets drained, your motor will shut off however, you will still have power to your servos to land. About lipoly packs. 2 cell packs are 7.4 volts while 3 cell packs are 11.1 volts. You must use a charger designated to charge lipoly cells and must set the correct voltage else, the pack will bulge and could explode and catch on fire. And, you also must watch on the discharge rate of lipoly. If you exceed the amperage given by the pack, it will explode or catch on fire in your plane!!! All depends on how you prop your motor. Bigger prop, bigger amp draw on the pack. Alot of the arfs now will say on the package whats recommended to power the plane. And generally, most planes that are powered by brushless motors will run the 3 cell variety of lipoly packs. Alot of punch there!!!! A 1500 mah 3 cell lipoly pack will run ya around $45 or so...just a ballpark figure. Lastly, use a good 4 channel rx thats small. I run Berg 4 channel micro stamp rx's. Dang things weigh just about nothing plus, most dependable rx you can buy bar none. Berg with xtal will run ya around $55. Good choice for micro servos are hitec 55's. These are about 18 to 20 dollars each.

Dave...