Honestly, Branson is better for older children and adults. We went last month with our 3 kids, 13 yrs, 11 and 2 1/2. The older 2 can ride go-karts, golf and enjoy shopping and eating out, but it was harder for our 2 1/2 yr old to do anything. I'm not sure you would want to take you son to any of the shows, but if he's content in the stroller there are plenty of places to shop and eat. The Titanic boat is somewhere we didn't have a chance to visit, but it looks neat, very cold inside I've heard. Hollywood Wax Museum is fun, you may enjoy that. Branson Landing is newer and has eating places and shops. There is a train you can ride that we didn't go on, but have in the past, lots of fun. I suggest you GOOGLE Branson, MO attractions and see what you might like to do, since you'll need to plan more with your baby. Have a great time!