You'll love it. Get a National Parks pass if you don't already have one, it'll pay for itself.
Drive from Moab to Bryce via Rt 12. Bonus points for taking a side trip down the Burr Trail.
Bryce: if you just go to the lookouts, it'll look exactly like the postcards. There are horsie rides down in to the canyon. I've never taken one, but I've hiked the same trails and I'd highly recommend it. I'm not sure where there is to stay in the area other than the obvious hotels. I don't know of any high end hotels there.
Zion: Stay in Springdale. The Desert Pearl Inn is really nice, and I've been able to get some screaming deals there off-season. It's worth looking at, and I'd make a phone call instead of booking online because it seems to be run by people. Our good prices came from talking to the owner. Really nice.
About all you can do in Zion without gnawing your arm off is take the shuttle up the Virgin River road. It's gorgeous. Make the typical little walks up to the typical scenic things, and do the walk up the river at the end of the shuttle run. If you've got a little athleticism, the Overlook Trail is my favorite. It's not sketchy like Angel's Landing, but it is strenuous.
Moab: I rarely stay in a hotel here, but the La Quinta is nice :) The Sorrel River Ranch sure looks good as I drive by. There are lots of Jeep/Hummer tours available. I don't know where they take you, but the following trails are beeyoutiful:
- Poison Spider
- Metal Masher
- Kane Creek (quite a variety here)
Arches National Park is an obvious one, make sure you hike to Double Arch. Delicate Arch is a bit of a walk, there's a distant viewpoint that's a lot easier to access. I can get you more info if required. Dead Horse Point is iconic.
Look into the various petroglyphs in the area. There's one on the Kane Creek road (Birthing Rock, I think) and Newspaper Rock is close by. There are also some dinosaur fossils that are accessible on a short walk, I can get you info - they're not all that well known.
Rt 128 near Moab is another great drive - you'll recognize the scenery from movies and Marlboro ads.