Unless its a really small baby, I think you would be fine on any of those. Jungle Cruise and HM are very smooth. Pirates does have the drop, but I think even a young child would be ok, but I would support its head if I were baby wearing it. You'll know it's coming up when it gets very dark in the ride. Safari would be fine, too, but I would ask to sit up front because the ride is rougher in the back of the truck. There is a lot of spinning in Buzz, but the rider controls when and how much you spin, so unless it is a very little baby, I would think it would be ok.