Rudder is connected to the nose wheel steering so there is no point in using the tiller, it would only be a very uncomfortable ride.
Rudder deflections are more like "kicks" because it is a search for some kind of balance with changing winds. Once beyond 80kts, the aileron (control wheel) should come in which is - unlike the rudder - a constant deflection. You would notice the required rudder pedal "kick amplitude" is reduced as more and more aileron is put in. At a certain control wheel displacement (aileron deflection), the ailerons cancel out almost all of the required rudder pedal deflections. That's when aileron input is correct and you can rotate without wingdrop (which is to be avoided on the B737).