Some trails are marked no bikes. They are clearly identified and are also marked on the site map available for free in the office at the front gate. When I drove passe there last week they are closed due to the extensive damage from the hurricane Harvey flooding. You may want to call before going.
@Bernard there are trails that are marked "no bikes", so I'm guessing you'll easily know which are for walking/running. There may be poison ivy so wash with Dawn of you brush up on leaves.
You may want to give them a call. The park was flooded during Harvey. They may be closed
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