Indeed....had to pry myself apart more than a few times. I use the Loctite brand, available at Wal-Mart, super glue liquid. I get it for just under $3 a bottle at my local store.
Indeed. Solution: Latex gloves. I use Gorilla Glue a lot in other costume projects (not for pep, 'cause it foams when it dries), also in some sculptures. It's just as bad to get on your skin, but I just get a box of latex gloves to work with, and the worst you'll end up with is an accidental gluing of one glove to another.
I need to try this super glue method myself...