Should I peel garlic before pressing it? I've never been sure about this. It doesn't impact the taste or texture, as far as I can tell.

I'm talking about those little crushing tools that you put a clove of garlic in, and squeeze it like pliers, and it presses the garlic through little holes.

Should you peel the clove before you do this? Why or why not?
You don't have to peel garlic before using a garlic press, but doing so lets you press more garlic before you have to clean out the skins and so forth.  If you only need to press a clove or two, there is not a lot of reason to peel first, since you will just have to clean the press out once.