/diy/ - Do It Yourself

My basement floors are unsealed concrete and they're pretty disgusting. They probably weren't cleaned in 20+ years. I've used the shop vac for all of the big stuff, then I ran my Roomba down there like 5 times, so it's at least swept clean for a change.

Now I want to use some water and dish soap to get the really deep gunk up. I'm planning using a push broom instead of a mop because that's what I have, and I feel like it will do a better job of scrubbing.

Here's my question: where do I dump the water I vacuum up? I could put some sort of filter on my utility sink drain, but I'm concerned that some of the finer particles will make it through any reasonable filter, then past the P trap and clog my drain elsewhere if I just dump them down the sink. Is there some sort of filter I could pass things through? Should I wait and let the water settle out for a day so after vacuuming it up, then take the sludge at the bottom and throw it in the garbage instead of down the drain? I was thinking a coffee filter would get the heavy fines out, but I'm obviously not going to pass gallons and gallons of water through a goddamn coffee filter.