I'm a frequent flyer (I am on the road 45+ weeks out of the year) and a number of tips you have been provided are good. Just a brief summary of the important ones:
1) GET TO THE AIRPORT EARLY. This is the most important one. Depending on what day/time you are leaving, security lines could be quite lengthy. I would try to get there 2 hours before your flight. If it's a long line, you still have time and, if it's not long, it will give you a chance to relax before the flight.
2) If possible, try not to check your bags. To be honest, I don't fly JetBlue (I fly Continental mostly) so I'm not sure what the checked bags fees are. If you can consolidate your luggage down to a carryon, it will save you time and money.
3) If you are not checking bags, print your tickets at home. It will result in one less line to stand in and will get you to your gate quicker.
4) The one-hour layover at JFK should be just about right but, as the other person mentioned, remember that boarding occurs 30-35 minutes prior to the flight so try not to dawdle too much.
5) If you are checking bags and staying at a Disney resort, make use of the Magical Express. I have used it many times down at Disney and using it again this May when I go again and I love it. By using ME, you don't have to worry about getting your bags and can just hop on a bus that will take you straight to your resort. Your luggage will follow you a few hours later and set out neatly in your hotel room.
6) Bring noise reducing headphones so you can either watch the Direct TV or listen to music on your own. I'm not sure how long the flights are but music helps pass the time faster and noise-reducing (if you have the money, Bose headphones are the best ones I've used) helps drown out other passengers and the plane
7) Remember you're allowed one carry-on and one personal item for the plane. The "one personal item" can be purse, backpack, computer bag, etc.
Overall, flying is not so bad. As I said, I do it, literally, every week and it's a fast way to get where you're going. Get to the airport early, dress comfortably and have fun and everything will be fine.