3 Bucket Mop Trolley You can clean your floors on your hands and knees with a bucket and soapy water, with a broom to sweep, with a mop to wash or with a carpet sweeper. You can even clean your carpets using spray foam cleaners, mops and air drying A mop bucket cart (or mop trolley) is a wheeled bucket that allows its user to wring out a wet mop without getting the hands dirty.