There are the shuttles that take you to trailheads, they run frequently and we found them really convenient. If you can, look up Top of the World north of town. A nice day trip with several stops on the way you can hit. Devil's Bridge is CROWDED so get there early, be patient or as said earlier, work within the most potential down times.
Be careful on the trails. We speak from experience that the EMTs are top notch and care at the emergency clinic is pretty good. South of town I really liked Montezuma's Castle and Well for some out of the way places.
Person Not Capable of Pregnancy