Kanab, Utah. I live there. I hike there. These are our favorite local hikes:
Bunting Trail-well publicized and in town
Squaw Trail (the best view of the "Grand Staircase")-well publicized and in town
Solaredas Trail-in town
Skutumpah Canyon (rock art)
North Fork Tiny Canyon or Mace Cave (rock art & ruins)
Dinosaur track hike near Flag Point (rock art also and we saw mountain lions)
all of the above can get you home for lunch if started by 7 or 8 a.m.
the next 3, I would carry my lunch just in case
Mansard or Island in the Sky hike (rock art)
Kanab Creek east of Rt. 89 (Indian ruins)
North Fork Hog Canyon (including "Superman" rock art & waterglyphs)
the next 2 may require more than half a day, mostly because of access problems (and 4WD only)
Glass Eye or Flood Canyon Indian ruins (try to include Inch Worm Arch)
Peekaboo or Red Canyon (short & nice slot canyon)
the following is a long hike but worth the effort
Cottonwood or Ron Smith Indian ruin site (rattlesnakes)