Expand. Renting a BISSELL carpet cleaner starts at $24.99 for a 24 hour rental period or $34.99 for a 48 hour rental period (prices subject to change at each location). Accessories and cleaning formulas can also be purchased for an additional fee.enting a BISSELL carpet cleaner starts at $24.99 for a 24 hour rental period or $34.99 for a 48 hour rental period (prices subject to change at each location).