Long Wait for an Amazing Site. Walk-ins are the trick.
First of all, read the review of this camp site by Danielle V. It describes our check-in experience to a "t," including the gate person telling us to stop one place and then that location having absolutely nothing, a very cold wait in a very long line at Norris, and incredibly kind camp hosts keeping us informed the whole time. I had my two kiddos with me, so I stood physically in line while keeping an eye on the kiddos in the car. It was just too cold to do it any other way. All that said, we ended up with what I consider the absolute best spot in Yellowstone. We grabbed the closest "walk-in" spot, which just meant we had to walk our tent and stuff in maybe 100 yards. It was right on an incredible meadow with a semi-swimmable (though cold) winding stream. The campground is centrally located, especially if you plan to make the big loop driving. Lots to see on the way to and from the major attractions. The nighttime events were also nice. One thing to be aware of is the altitude. This site got very cold, almost freezing, in July, so come prepared. Other sites in this same campground were okay, but I really feel we lucked out with the walk-in ones.