[DonRotolo]

I can't give you a comprehensive answer, but...

Tank uses two joysticks - one for the left side wheels, one for the right side. Also known as skid steer. To turn, you push one joystick more than the other.

Arcade uses a single joystick. To turn, you push the joystick in the direction you want to turn.

Neither is "better" - it is purely driver preference.