The Baby Centers located in the parks offer almost anything you may need or have forgotten for your little ones. They sell diapers, wipes, baby food, toddler food, and other products geared towards the need of infants and young toddlers. They have high chairs to make feeding easier. They also have screened-off areas for mothers who are breastfeeding as well as equipment for mothers needing to pump breast milk.
Disney California Adventure: Next to the Mission Tortilla Factory in the Pacific Wharf.
Downtown Disney District: No Baby Centers are offered in Downtown Disney. Any Lost Children found in the Downtown Disney are taken to the location inside the Disneyland Park.