Furnished Apartments For Rent Port Arthur Tx . What does renting a two bedroom apartment in port arthur cost? When you rent a furnished apartment in port arthur, tx, you save money upfront by not having to buy furniture, and the moving process will be more cost. Stone Creek Apartments for Rent 3035 Lake Arthur Drive, Port Arthur from www.zumper.com $30 per adult this beautiful, fully remodeled home is waiting for you! The average home rent in this town is $1,598. Apartment rent in port arthur has increased by 23.2% in the past year.