Some of them, yes. 5 month old babies can ride attractions such as The Many Adventures of Winnie the Pooh or Monster's Inc. Mike and Sulley to the Rescue!. They cannot ride on attractions such as Space Mountain or Incredicoaster.
Mainly in disneyland only
Some of the kids ride on parents lap
Sorry No, there is a size limit
Very few, as some rides have height restrictions
Very few
Depending on the rides can be held in the parent lap
Very few rides allow infant but there are some.
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