Walnut Creek Metro Park has about 11 miles of singletrack trails that are mostly shaded, pretty smooth, and make for a great mountain bike ride for beginner to intermediate mountain bikers. Follow the blue blazes on the sign posts for an 11 mile loop that takes you through almost all of the park.
Find a trail map at http://www.austinridgeriders.com/documents/Walnut%20Creek%20Metro%20Park_Kiosk.pdf from the Austin Ridge Riders.