Apartment For Rent In Rice Village Houston . This property is 8 years old, it was built in 2014, and has 379 units. One bedroom apartments average $1,945 and range from $900 to $2,518. Hanover Rice Village Houston, TX Apartment Finder from apartmentfinder.com Dog & cat friendly fitness center pool dishwasher refrigerator kitchen in unit washer & dryer clubhouse. Bunker hill village houses for rent; Hanover rice village is your home in the heart of rice village with easy walking access to everything that this vibrant, upscale neighborhood has to offer.