All of those rides have child swap.
This is how it works. You wait in whatever line you are in (either express, single rider, or regular line.) Then when you get near the front of the line, they will let one of you take the child to the baby swap area, while the other person rides. After you ride, you go back to baby swap and stay with your child, while the other parent goes into the express line and onto the ride. They don't make the second rider wait in the long line again because they have already waited once.
If you have other children who will be riding the ride, they can ride twice, once with each parent.