Hiya Pamela!
Welcome to planDisney! Peter Pan's Flight is one of the attractions that my family has to ride first every time we visit Walt Disney World Resort. The best moment is right after you board your "ship" and the Cast Members sprinkle pixie dust onto your safety bars and they come down over your lap. It's right after that guests just zoom off into the magic and it feels like a wonderful way to begin a magical trip.
Peter Pan's Flight is scheduled to return to normal operation on Wednesday, August 21, 2024. It's not a rock solid guarantee as many factors can come into play to delay it or even have it open earlier but it's currently showing up on the calendar as opening on that date.
The Many Adventures of Winnie the Pooh also in Magic Kingdom Park is not being refurbished at this time and is currently open and operating! I don't see any announcements yet for a scheduled refurbishment. That's great news as you can visit Tigger, Eeyore, and Piglet in the Hundred-Acre Wood with no issues!
The
Jungle Cruise, however, will be temporarily closed for refurbishment starting August 26, 2024, which could impact your trip. According to Walt Disney World, the re-opening date is not yet confirmed but they are planning to have it reopen before the "winter holidays begin at Walt Disney World." I'm going to predict that around the beginning of November will be when we can see the backside of water again.
I hope this helps with your planning and you have a wonderful time!
-Nimmy