I never think about twisting the skis when I'm carving.
The skis do the turning, not me.
My job is to put them on edge and pressure the front part of the ski.
The skis do the rest.
It is also my job to stay in dynamic balance and not end up in an awkward position at the end of the turn.
The first clean turn is the hardest when you are starting a carving run.
Racing teaches this very well because you know where you are going to turn and what you want to do.
I really concentrate on my first turn as a freeskiing drill.
From a wide stance traverse position, I pressure the outside ski by moving my body lower to pressure the boot cuff while simultaneously steering the ski by moving my knee in.
You can roll your knee in by rotating your femur in the hip socket with the knee bent.
There is a very subtle part of the first turn I call "finding the edge."
When you are pressuring the cuff and rolling your knee in you have to be very gentle until you feel the edge lock.
Once you have found the edge you can stand on that SOB and get your inside ski working too.
If you try to load the ski before it has edge lock you will skid.
Once the ski locks all good GS racers try to hit it as hard as possible to do most of their turning in the top of the turn.
Subsequent turns are easy because you have speed and rotational momentum to work with.
Try it on a blue slope.
Traverse, drop to GS position, roll your knee, find the edge and stand on it.
To get both skis playing well together you will find you have to roll your inside knee more than the outside one because you need more edge angle to carve the smaller, inside radius.
If you do this well, don't think you are going to slow down.
Done really well you will accelerate out of the turn.
You will have to learn how to drift the skis while still largely carving to keep speeds reasonable on anything but a blue run.
Be safe, have fun and learn to carve well.
Skidding, hopping, twisting, up unweighting, down unweighting and just plain pulling it out of your ass are all valuable parts of good technique.
Plan to do some high speed crashing too, there is only one way to know where the limit is.
Don't do dumb stuff like going fast when you don't know the way.
Like Hunter Thompson said " I don't mind dying doing crazy . I don't want to die doing stupid."