Most of the campgrounds are small so you won't be camping beside a big rig.  Lots of trees for privacy, most campgrounds are beside the Colorado river (but no direct water access).  We arrived around noon, most of the sites were occupied but we found one that is checking out so we grabbed it.

The campground has a large table and a huge fire pit.  Most are within close walk to the outhouse.  

Driving to Moab town center, as well as Arches National Park is about 15-20 mins.  Overall an incredible experience.