Cheap Studio Apartments For Rent In Fall River . Listings, photos, tours, availability and more. Fall river features 3,281 low income. Comprar Marihuana en Las Palmas de Gran Canaria en from canariasweed.com Some landlords offer studio apartments with all utilities included in the flat, monthly rent, an extra financial benefit. Also find cheap north end neighborhood apartments, pet friendly. The average apartment rent in fall river is $1,655 per month so any rental south of $1,324 would be considered cheap here.