EdGrune is right. DO NOT use power with wire guage bits. It isnt needed on plastic and only adds the risk of breakage to your other worries. You only get ONE of each bit in a set; you dont want them breaking off because you were too strenuous with them.
Trust us on this point, too: a #75-#80 drill bit is SMAAAAL. You need to exercise care with such things.
SIDE NOTE: I've got some that go to .008". This is even smaller than #80, which is .014" and normally the bottom of the common wire guage scale. These things are little bigger than a hair. They're mostly useless, but pretty neat anyway!
Get two sizes of pin vise: The small one and the larger one with the spinning finger rest on top. The one for welding tips that Glenn recommends is okay, too. I've found no need for larger ones with plastic aircraft or armor models. If you build large ship models of wood, then maybe. But plastic models? Naaah.
Go slow with models and the tools used on them. Patience and a deft touch are your by-words.