Oh boy. I'm sorry to hear that - the good news is that you can manage type 1 and do just fine with it.
But as I'm sure you already know, it requires diligence and can sometimes be a challenge.
My DD was diagnosed just after her 1st birthday, she's 8 now and we've been to Disney for a total of about 28 days during that time. We've been in Nov, Dec and Aug. You can, and will have a great time, but as with all things diabetes, you all now have a little more to do to ensure that.
a few suggestions:
1. Keep checking her blood sugar levels OFTEN, about every hour or so. Try to keep her under control but also try not to "whipsaw" things by overreacting - for instance, if you eat a big meal, then check her an hour later, she might show 300 - but that might be OK, as the insulin may still be working.
2. Keep an eye on her. Watch her skin color, her temperment, her energy levels. If you have to: stop, get in A/C, check blood sugars, give food or insulin, relax a bit and come back out of it. It might take 20 minutes, but that's better than her passing out and requiring much more time and effort to get back on track.
3. Read, read, read. Read through this board, read
http://allears.net/pl/diabetes.htm and of course continue your diabetes education. Knowledge really is power here and there's lots to learn.
4. Don't be afraid to act. Ask for help in the park, have your cell and call your nurse/doctor, etc. Diabetes has the nice feature that generally, bad things take a few hours to develop and can be reversed at any point with intervention. You're so new to it - if you see something you don't like, just reach out and ask what to do.
Welcome to the club no one wants to join. Hopefully a cure will allow us to disband this club someday, maintaining only the friendships.
Good luck and Enjoy - Jay