Cheap Apartments For Rent With Immediately Move In Avaiavle . On rentcafe, new jersey rents go as low as. Today's average rental price for two bedrooms here is $2,927. Affordable Apartments Now Available Wavecrest Rentals from wavecrestrentals.com The average apartment rent in new jersey is $1,980 per month so any rental south of $1,584 would be considered cheap here. Forrent will guide you towards the best affordable and low cost apartments for rent. Rents for affordable housing are set in one of two ways.