Ants

Tunnelling and removing dirt

Clean.

Disinfecting

The dandy brush is used for removing heavy dirt and dried mud.

If you mean clean the baths by removing dirt, they would just have one of the bath slaves wipe up or sweep up any dirt that was on the floor and when they drained the various pools the slaves again would scrub out and clean the tubs. If you mean personal cleansing by removing dirt, they would oil themselves and then scrape off the oil with a tool called a stirgil. The dirt came off along with the oil.