Furnished Apartments For Rent In Petersburg Va . City or neighborhood needed* *. Furnished, balcony, fireplace, storage, outdoor space. Market Square III Senior Housing Apartments Richmond, VA 23237 from www.apartmentguide.com We have 2 furnished apartments for rent in petersburg, va. 1 bed, $795, 624 s sycamore st apt 6, petersburg, va 23803. Petersburg, va furnished apartments for rent.