From the NPS site for Chiricahua http://www.nps.gov/chir/planyourvisit/index.htm:
Chiricahua National Monument is truly one of the National Park Service secret treasures. If you are willing to drive the 37 miles off I-10, you will be surprised to discover a mountain wonderland of trees, wild animals, and the amazing balanced rock and pinnacles that make this place so unique.
If you have only a couple hours, stop by the visitor center and watch the 8-minute park movie then enjoy the views at Massai Point, the end of the 8-mile scenic drive.
If you have half a day, hike one of the trails; Echo Canyon Loop, Sugarloaf Mountain, or Natural Bridge. Explore the Faraway Ranch Historic District.
If you have all day, head to the Heart of Rocks area and see the most unusual named formations; Duck on a Rock, Punch & Judy, Kissing Rocks, and Big Balanced Rock, or do the Big Loop.
When you go to the site, you can actually click on the Hike Arizona as it's linked to http://www.hikearizona.com/interestDEX.php?ID=24&WID=3:See the trail guide for more hiking information. The Hike Arizona website also has detailed trail information.