Babies typically start holding their own bottle around 6 to 9 months of age. This milestone varies depending on the baby's developmental progress, including their arm strength, fine motor skills, and hand-eye coordination. Even when babies are able to hold their own bottle, it's important to always supervise them during feeding for safety reasons. Around 9 to 12 months, babies may also begin holding cups with both hands, progressively moving toward more independent drinking skills as they grow older. This stage is part of broader feeding milestones that also include introducing open cups and weaning off bottles around the first year of age.