Hands Free! Messenger style diaper bags are worn over one shoulder and across the chest to lighten your load and keep your hands free for your baby. Messenger style diaper bags are often a good gender neutral choice for moms and dads. The large front flap makes a messenger style diaper bags look casual and trendy all at once. DiaperBagMall.com carries the following messenger style diaper bags. Click on any of the diaper bags below to find more information about each messenger diaper bag.