Once baby is washed, wrap him or her in a towel and leave the bath stuff for a clean up later. Use the towel to dry baby off. You can, if you desire, use lotion on the baby after a bath, though it's not necessary for most babies. Put a clean diaper and outfit on the baby. Once baby is sleeping or with someone else, you can then clean up the bath equipment.
Photo © Robin Elise Weiss