I did a shallow shore dive to test my drysuit and to do a buoyancy check before diving in it. I experienced some feet floatiness, more drag than in my wetsuit, less mobility/flexibily, especially in the arms (reaching valves), but nothing major or unexpected - and after a few rec dives I was pretty comfortable in my new suit. I don't think you need any special drysuit training as long as you are a competent diver otherwise, though a good instructor or drysuit diving buddy would certainly speed up the learning process.
Here are some tips I've picked up:
- fit is important, especially snug boots. If you have a lot of spare room in the boots, then gas will go there and you'll get floaty feet, which in the worse case scenario can pull you up to the surface in an uncontrolled, feet first ascent. Negatively buoyant fins, such as jets or turtles help prevent this to some extent. Negative or neutral boots wouldn't hurt either.
- I was advised to keep the dump valve fully open and just add enough gas to the suit to take off the squeeze. Use your BC for buoyancy control. But make sure your suit has enough gas that you can move around in it comfortably.
- I've been advised to stretch in the suit before jumping in the water to make it easier to reach my valves. Try to reach them wihle on dry land.
- If it's hot on the surface, then dip yourself in water before putting the rest of your gear on (if possible) to keep cool.
- After you put the suit on, do a squat (while hold the neck seal open to let excess gas out. Also, if have trouble dumping the suit and start to lose control, then do the squat, or feet grabbing move to force the gas out - but make sure the dump valve roughly the highest point of your suit when you do this underwater.
- If you have a problem with the dump valve then remember that you can always dump gas by stretching open the neck or wrist seals. If your suit starts to autoinflate, then disconnect the suit inflation hose or turn off the offending tank if that's an option.
Okay, these tips are mainly based on what I've read here, but my own drysuit experience is still very limited so take this for what it's worth.