Looking for a cheap apartment for rent in Portsmouth County, VA? With RENTCafé, finding an affordable apartment in Portsmouth County, VA has never been easier. We feature 1 low-priced rental directly from property managers, with rents lower than the Portsmouth County, VA average. What is a cheap rent in Portsmouth County, VA? The average apartment rent in Portsmouth County is $856 per month so any rental south of $684 would be considered cheap here. Size matters though, so if you are in a market for a studio, expect to pay around $539 per month. If you’re looking to upgrade to a 1-bedroom apartment you’ll pay around $622, while a cheap 2-bedroom apartment will cost you about $658 per month.