There are 6 US Post Offices in Fluvanna County serving a total of 32,504 residents equating to 5,417 residents per post office. It's estimated that approximately 51,880 packages are handled across the 6 county post offices annually. Fluvanna County is a county located in the Piedmont region of the Commonwealth of Virginia. As of the 2010 census, the population was 25,691. Its county seat is Palmyra. Fluvanna County is part of the Charlottesville, VA Metropolitan Statistical Area."