Am I doing it wrong? When laying up prepreg my gloves (from EC) stick so much to the carbon that I end up taking them off. It is particularly bad if heat is used when persuading the stuff into shape. 

No, fairly normal. Probably a bit too warm in your work environment, if you can regulate the temperature to about 20 degrees then that's typically when pre-pregs are at their optimum tack. From memory, the EC gloves are also quite thin. You can get thicker gloves that are more robust and make it a bit easier. 

Its otherwise just part of working with pre-preg, you get used to it. You can leave the blue backing film on as you get the ply mostly into place and then peel it off just before you press it firmly down. Just make sure not to get any film stuck between plies. I also like to keep a piece of scrunched up backing film and using that to press things into place.

Normally hardly touch the material apart from picking up
Flick the backing off with a  blade tip an loosely position
99% of the work then is done with my "dibber" Highly technical composite term there  !
Mine are ptfe 
Will post some pics later
Your in Essex aren't you ??? I'm working down there can drop a couple in one evening for you to try
MSC are doing the best deals on blue nitrite gloves at the moment or Cambridge scientific

after a while you end up with a draw full like this !

my main weapons of choice
Can laminate virtually anything with these two !!

rob you wouldn't believe it but some of the 'experts' i work with are looking at starting a company making dibbers

That will be cos they can't make anything good in carbon 😁
Better copyright my designs PDQ !!!