All through this thread I see excellent advice for ice technique but that advice seems to be more applicable to racing or going fast on ice. There is a whole side to ice that has nothing to do with racing and everything to do with beautiful effortless recreational skiing. Ice offers the recreational skier a wonderful surface to just dance with nature and glide effortlessly. Its no secret that ice is my prefered terrain. The harder the better and it does not matter if it is vertical and loaded with bumps.
Some things for the recreational skier to consider:
First, make sure you're skis are sharp and debured and have at least a one degree base bevel and two degree side bevel. Next if you have a moveable binding, put the bindings more forward. This will move you're center of mass up over the sweet spot of the skis and allow you're whole foot to guide the skis instead of the sweet spot being slightly forward under the ball of you're foot. This little move allows the recreational skier to cut way back on how much fore and aft movement is necessary to finish or initiate turns. The less uncessary movements the better. Dynamically balancing on ice is harder than hard pack by an order of magnitude.
The whole game here is relaxing and decreasing the amount of unecessary movement fore and aft and side to side. Others have said it "Easy Does it" You wouldn't do anything drastic to the steering wheel of you're car on ice and skiing is no different. Relax and ski.
Next, a certain type of skid namely tail drift if perfectly ok on ice. Keep you're edge angles shallow, stay up front and have you're hips over you're feet. Think of turning by trying to gently rub the side of you're little toe on the inside foot through the entire turn. You do this by balancing on the outside foot and moving the inside foot back and tipping it into the turn. Easy does it, gentle, rub that little toe throughout the turn.
Start you're turns in slow motion. The top of you're turns on ice should take three times as long as the bottom part of you're turn. The biggest mistake most skiers make is rushing the turn entry and the top part of their turns. Easy does it and the turn will end up round while the edges bite fine. The ski tails will show a shallow tail drift.
Keep the turn size small but not overly tight, keep the edge angles low, keep you're hips up over you're feet and slo-mo the top of the turns. Thats it, you're speed will stay at acceptable levels even on steep terrain.
My advice for skiing moguls is the same as recreational skiing on ice.
As you get better, keep one thing in mind. The beautiful dance, intentional slow motion and grace of skiing on ice really mask the increased danger you face in falling or colliding. Respect ice, think ahead the brakes don't work as well especially in big steep icy fantastic bumps.