Contrary to popular notion, newborn babies don't require those baby wipes to clean their bums. Baby wipes which are considered to be essential for diaper duty are both expensive and can also hurt a baby's sensitive bottom. According to the editor of the AANLCP Journal of Nurse Life Care Planning Wendie A. Howland, "A 100 percent breastfed baby doesn't need baby wipes. Not at all. Breastfed baby feces are low in acid and bacteria, watery and wipe off easily; breastfed baby urine is diluted and non-corrosive."
What is recommended instead is to wipe that baby bottom with the diaper you're taking off, re-wrap in a new clean cloth diaper, and you're both good to go. For babies who are formula-fed, use a washcloth and a mild soap instead.