Babies and young children suffer from jet lag just as adults do. Traveling across time zones disrupts your sleeping, waking, and eating cycles. Any trip you take with more than a two-hour time change forces your body to adjust to a new schedule. The more time zones you cross, the longer it takes your body to adapt.
Most people find that traveling east to west is easier on the body than west to east.
A few days before you leave home, try to shift your child's bedtime 20 minutes each night to get ready for the new time. Put your child to sleep at the new location's bedtime. Immediately change your meal schedule to adapt to the new time zone. If you're traveling with an infant, though, feed him on demand. Plan outdoor activities for your first few days.