Just to point out a few things......
Lindbergh - the rudder pedals remain active because the autopilot is only two axis (roll/pitch i.e. ailerons/elevators) and is only able to trim the elevators. To that end in the real aeroplane, even with autopilot engaged, the rudder pedals are still useable.
Biggles - Base position for the rudder trim before take off is 'a bit right'. Quite how much depends on the mass of the aircraft, the flap setting for departure and the fact that, in all honesty, each airframe will vary slightly. Experience slowly teaches you but essentially as long as it's somewhere between centre and a little right of centre that'll do just fine, once the aircraft's airborne simply use your feet on this pedals to keep it flying in balance.
In terms of its use in the air, Ben's quite right when he says the rudder (and therefore by association the rudder trim) input required to keep everything pointing exactly forward will change with every speed and power alteration (More power and same speed or less speed = right rudder. Less power or same power and more speed = left rudder).
Conventionally as someone states above the idea with trim is to make the control input, hold the aeroplane where you want it with the controls and then use the trimmers to relieve the control loads. Now this holds entirely true on the dash, however the rudder on the Q4 is a fairly big, powerful thing with the potential to wag the tail like an excited Labrador if you use it generously. It's also hydraulically powered. (As a matter of interest you'll find it's travel is restricted with Flap Zero, once Flap 5 or greater is selected note the increased rudder pedal travel available). This means that, at higher speeds, only very small inputs are required to accommodate the trim alterations required by power changes.
It's perfectly possibly to, for example, initiate a descent from FL200 at 250kts and, as you pull the power back, balance the trim change with the rudder pedals and then, once established in the descent, trim the rudder out using the switch. However, the pedal movement required will be quite literally only a half inch at most, quite possibly less; if you're less than perfectly controlled with your feet movement then you'll generate a fairly obvious and uncomfortable yaw movement. To eliminate this possibility a lot of guys simply do the power reduction in stages and, in-between each stage, add a little rudder trim. This is the process that generates this continual movement of your hand from power lever to rudder trim to power lever to rudder trim and so on. Technically, it's not the 'correct' way to fly the aeroplane but it works