Tips on taking 3 month old to Florida & Disney World?

My grandmother lives in Florida and we're going to see her and stay with her. She lives 30 minutes from Disney. I know you can't put sunscreen on babies under 6 months. How can I keep her cool? Has anyone taken a baby to Disney? Any tips? What about to the beach? What things should I pack to take in to Magic Kingdom? I'll be bottle feeding her. How do I do that while at Disney? What about at the beach? We'll be taking her pack and play for her to sleep in, and her stroller and car seat. Just give me advice, please! Especially on keeping her cool and not getting sunburnt since she can't use sunscreen. I'm at FTM!