Fruita is close and it's a relatively easy drive (you can take I-70 or a much more scenic route along 128 that follows the Colorado for a while). Arches is a pretty park with several relatively easy hikes and it's just outside the center of town. Moab itself is a little lacking in charm in my opinion but it makes a good home base for all the awesome things in that area. Canyonlands National Park is a bit further out from town, but it's an absolutely amazing place to visit.