There are 6 US Post Offices in Chambers County serving a total of 14,444 residents equating to 2,407 residents per post office. It's estimated that approximately 23,054 packages are handled across the 6 county post offices annually. Chambers County is a county in the U.S. state of Texas. As of the 2010 census, the population was 35,096. The county seat is Anahuac. Chambers County is included in the Houston-The Woodlands-Sugar Land, TX Metropolitan Statistical Area."