Forget that it's called a bucket on a belt, only use it to carry your MOIST, not soaking, applicator and blade. Don't use it as a reservoir, that's how you're getting the soggy leg from the drips, overflow, call it what you will.
If you try Unger Monsoon sleeves, which seem to hold the most water, you might even get away with one "dip" per house. Dip your applicator in the bucket and squeeze off the excess liquid. The more you put on, the more you have to clear up later.
Have fun!