At higher than taxi speeds tiller inputs should NOT be used for directional control.
The nose wheel steering wheel is used to turn the nose wheels through the full range of travel at low taxi speeds.
Differential braking is something that on large commercial aircraft is NOT advisable.
Under normal conditions, differential braking and braking while turning should be avoided.
Best technique is with rudder pedals which deflect rudder and nose wheel (limited travel) which at speed of ~45kt should be more than adequate for the RET.
Once clear and speed reduced further, tiller input is required for sharper turns at low speed.