You're bringing a Jeep but what is the extent of what the Jeep is for? Will you do any trail riding with it?
There is a lot to see and do in Moab and using one spot as a basecamp in Moab is not a bad plan if your intent is to hit up a lot of trails accessible from Moab. If you are only doing general sight seeing, make sure and drive highways 279, 128 and also Kane Creek Rd. People usually stay "in" Moab to do the many, many trails that Moab offers for Jeeping, OHVing, MTBing, hiking and climbing.
If you are planning on only seeing general sights near Moab from driving the roads, I would take other's suggestions on this thread and move on to the next location and explore from there.