No wagons, but I whole heartedly recommend taking your OWN stroller. It was $31/day when we were there in April. Granted my kids are little little and the WDW strollers are really built for slightly older kids, but there is NO WAY I'd pay that for a rental. Another advantage of taking your own is that the kids would be comfortable in it. But if you do take your own, mark it somehow so you can see it easily and can identify your stroller. We tied a bright pink bit of fabric on ours for ID.