Cleaning a baby is no easy chore.
Finally, if I may make a recommendation for you, the parent: buy this knee pad and storage kit. Sure, you could live without it. I'm sure it would build a lot of character, as my dad would say, to grind your knees into the tile floor and grate your ribs against the side of the tub. On the other hand, if you use this, it will lessen the pain and leave you more bandwidth in your brain to enjoy bathtime with your baby.