As with everything there is always more than one way to do it! While the above is the traditional way that many people use to bathe their babies, there are alternatives. A great one to use is to actually bring the baby into the bath with you. This is particularly good if the baby is very fussy or sick. They love the skin-to-skin contact. You simply cradle the baby on your lap and bathe them. When you're done, you can either hand the baby off to another adult and finish your bath or get out and take care of baby. This is also a great technique for baby's who are having trouble latching onto the breast. The water and skin contact can be enough to help them relax and nurse more effectively.
