Bryce Canyon National Park has a few options when it comes to camping inside the park. The most centrally located and largest is the North Campground near the Fee Entrance to the park and right across from the visitors center. It is a nice campground with lots of space at each site. It is surrounded by pine trees and it was a little hard to find a tent spot that was really level, but I arrived late and didn't get prime choices for campsites, so I took what I could get at about 2pm. There are restrooms at each loop and showers are available at the nearby North Campground General Store. Great night skies for star gazing, and if you want to wake up early the campground is close to Sunrise Point. Bryce Canyon is know for its hoodoo's so make sure you take a least a short hike to get up close to some of those. When it does rain the trails and surrounding areas get very muddy so make sure to bring some shoes you don't mind getting a little dirty.
On a side note before you get into the park and visitor center there is a little town with some shops and restaurants that might interest you. I ended up heading back and grabbing a sweatshirt because it got a little colder than I was expecting at night.