How long will you be there? OMG I'm jealous, even though I've been there before :) We were there for about a week and drove about 550 miles within the park to try to see all of the different things - and still didn't see everything I think. My advice is: see everything you can - it's all awesome. And if you have kids and a couple of days do the Junior Ranger program.
RE: Chillin' in Yellowstone National Park