Pick em up by the tail and you might cause an internal hemmorhage which can kill it.
Some of the other ways listed can work on smaller snappers, problem is when they start tryin to escape, you end up droppin maybe hurtin em when you didn't mean to.
They make great pets, if you can find the smaller ones. Put in an aquarium, add water and a dozen minnows, and your kids'll be entertained for hours.
Watch out tho, cause when they get bigger they'll push the top off the aquarium and roam the house.
The big ones can safely be carried by sliding one hand up behind the head, grabbing the top shell, and the other hand on the top shell above the tail. Carry slightly head down. They can't snap straight up, and can't twist their head enough to get a grip on you.