Wheeled hampers are pretty practical for rolling back and forth to and from your bedroom to the bathroom or down the hall to pick up your kids’ dirty laundry. I can’t think of any advantage a round hamper would have over a square or rectangular one, so the shape you choose comes down to taste. Some come with a lid. Look for a sturdy frame, heavy duty wheels, and a large capacity to hold lots of laundry.
Round hampers pictured:
Left: Moda Home Vintage Reproduction Collapsible Rolling Metal Laundry Basket
Middle: Whitmor 6894-3499-BB Commercial Round Laundry Hamper
Right: Creative Bath Simply Storage Hamper with Liner, Black
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