Baby Costumes - Costume Craze has fantastic bargains and discounts on baby costumes for you to choose from. We have Infant Costumes, Toddler Costumes and Baby Bunting Costumes. Costumes for Babies and Costumes for Toddlers ages 6 months - 4 years. Costume Craze has a huge selection of Baby Costumes in size Infant and Toddler. We have a Pirate Baby Costume, Princess Baby Costume, Ninja Baby Costume, Supergirl Baby Costume, Cheerleader Costume, Angel Costume, and some bunting baby costumes that are funny and adorable! A Baby Costume is not just for Halloween!