Before I paint the baseboards, I want to clean the floors. I'm looking at 20 years of grime accumulated on tile. And the squeeze-mops I buy at the hardware store are wretched -- the sponges disintegrate after just a little use, in a clear ploy to get me to buy more sponges. And yet, in my past life, I've used a string mop, and they don't seem a lot more effective.

It's a bonus if the same solution will clean walls.