All this talk about how toddlers love to clean! It just so happens that Craig's hack on this very topic just popped up in my queue (and he's the third Parenthacker to mention the Swiffer Carpet Flick):
My two year old son Sam loves to imitate our cleaning activities, including vacuuming, sweeping, etc. He pretends his corn popper toy is a vacuum cleaner. We bought one of those short broom and long-handled dust pan kits and he loves to use that short broom to sweep up, but he doesn't quite have the motor skills to do any actual cleaning.
We just bought a Swiffer Carpet Flick and he immediately wanted to do it "by myself." It was a little too long for him to actually use it, until I took out two of the middle sections in the pole. Now it is the perfect size and he runs around on the carpet actually doing work for us, plus he gets to see the crud being picked up inside the Swiffer. We may have to buy a second one for ourselves.