I'd suggest buying a cheap wet/dry vacuum. They take up quite a bit of space for an apartment, but anytime you create a mess they can clean it up without issues (previously I had a battery powered stick vacuum and it would regularly get clogged up with sawdust and lose power). It's paid for itself easily, as I've had two small water leaks that if I wouldn't have cleaned up properly in time (I only have so many cloths) would have damaged furniture.
