There are so many awesome trail systems in Moab that you could pretty much ride every day for a month and never do the same trail again... I'll talk more about all of them in a next post, but for this one, I will focus on Dead Horse Point State Park, for no other reason than Isa took lots of good iPhone pictures and that the view is incredible.
This trail network is probably one of the easiest in the area, but it still offers some fun technical sections and an amazingly rewarding view. Actually, the view is so amazing that it's almost dangerous because you cannot help but look at it while riding! None of the trails is close enough to the rim that it feels scary (no exposure).
This is one of the only trail network that requires you to pay an entrance fee (since it is in a State Park). It's $10 for a 3 day access. After the ride, drive or ride to the view point at the end of the road, it's 2,000 feet above a gooseneck in the Colorado River. The State Park is right on the edge of Canyonlands National Park. You can also hike the Rim Trail (an hour or two before sunset is the best time!).
If you are planning to go, here are some information about the trails. All the trails start at the end of the Visitor Center Parking Lot (the Visitor Center is at one end, the trails start at the other end). Ride Intrepid to Great Pyramid and the the whole Big Chief loop (stop to eat lunch at the point of Big Chief, then take Crossroads (green). If you still have some energy left, do Whiptail (blue), Twisted Tree (black) and Prickly Pair (blue with black sections) back to the Visitor Center. If not, just come down Prickly Pair. Don't take Raven Roll down (unless you are very tired after Big Chief), it's a very boring green.