Cheap Apartments For Rent In Edmond Oklahoma . Cheap apartments in the 73013 zip code of edmond, ok from $600 (42 rentals) close. You searched for apartments in edmond, ok.apartment finder will help you find the right rental at the right price. Autumn Woods Apartments for Rent 5151 S Utica Ave, Tulsa, OK 74105 from www.zumper.com Looking for a one year lease. 378 cheap apartments in edmond, ok to find your affordable rental. 2 beds • 2 baths.