Urban Hiking in Houston
The hikes in Memorial Park (while only minutes from downtown Houston) are all located in a wooded, secluded area. These are trails were originally created by Houston cyclists so you may want to hike them during the week to avoid too much traffic. The Memorial Park Conservancy is working on a master plan to build more trails and enhance the existing trails for use by hikers, cyclists, and equestrian riders.
Other urban hikes in Houston are along White Oak Bayou, Buffalo Bayou, Sims Bayou, Mercer Arboretum, Jesse H. Jones Park, and at the Houston Arboretum and Nature Center. Further to the west but still consider urban is Terry Hershey Park, Cullen Park, and Bear Creek Park. All offer paved trails accessible by everyone.