Granted our experience isn't much, just three females so far this year but basically we just put on gloves and got the female out of there being careful to not upset her and get her thrashing about or disturbing the eggs. Some of them hissed a bit but not much more than that and as Justin said, they pretty much calmed down as soon as they were off their eggs.

I like that pillowcase idea though. I'll note that down. Thanks Justin!