Hi there, Nicole!
I'm so excited that you're planning your very first visit to the Walt Disney World Resort!! You are about to experience the most magical vacation on the planet! First, you'll want to order your
Free Disney Parks Vacation Planning DVD so you'll be able to pick out all your favorites.
I think you should plan on spending one day at Epcot, a half-day at Disney's Hollywood Studios, a half-day at Animal Kingdom, and a full day at Magic Kingdom. Depending on the length of your trip, I would suggest two days at the Magic Kingdom because I think your daughter will really enjoy
New Fantasyland so much that she'll want to spend half a day there! Of course, if time allows, I would spend a full day at each Park with a pool day in between. It will be very hot and humid in June and you want to be sure you don't over do it in the heat.
Now, for the fluffy down low. I had this concern when I first visited the Walt Disney World Resort. I haven't had any issues with fitting or with weight limits. You see, Disney Parks are made for Dreamers of all ages, shapes, and sizes! There is a great article that you can find by going to AllEars.net and doing a search on the site for "WDW At Large". You will find a wealth of information, tips, and tricks about many of the Attractions around the Parks. Some of the attractions even have test ride vehicles where you can try them out for size before getting in line. Just ask a Cast Member if one is available.
I hope this sets your mind at ease and I'd love you to come ask me any other questions you may have as you plan your trip!
Wishing you Pixie Dusted vacation planning!
~Jackie