Apartments For Rent In Houston Tx 77040 . This home has a spacious family room, and dining rooms and a large kitchen (island) with a breakfast area. Cheap apartments in the 77040 zip code of houston, tx from $700 (8 rentals) close. The Franklin Apartments, Apartments for Rent in Houston, TX from knockrentals.com Each apartments.com listing has verified information like property rating, floor plan, school and neighborhood data, amenities, expenses, policies and of course, up to date rental rates and availability. Click on listings to see photos, floorplans, amenities, prices and availability, and much more! Get all the insight you need to make your rental decision by reading candid reviews at apartmentratings.com.