How to Bathe Newborn Puppies. Part of the series: Puppy & Kitten Care. To bathe newborn puppies without hurting them, use a flea comb and rubbing alcohol instead of chemical flea treatments to remove any fleas, then gently apply soap and water while taking all possible safety measures. See how it's done in this free video on puppy and kitten care. Read more: http://www.ehow.com/video_8405841_bat...