360 Degree servo or stepper motor

i just need some one to please tell me what controller and driver to buy for this application, and some one to help me write the code for it.

If you use RC servo then you don't need driver.Because RC servo has built-in amplifier.
As controller, you can use Arudino.
That video - "60sec timer"

The code is only 20 lines.
That's Arduino!
But, do you want to roate same direction over 15 * 360deg?
and how to request angular accuracy?
GWS's servo - MAX 15*T ? ( TURN ) <- I think angular accurasy is poor.
http://www.gwsus.com/english/product/servo/s125.htm