Congratulations on your daughter's approval! I know when Dad first got his
scooter, he actually cried on the way out of Disney for the day...he said it was like he got his wings back!
I would like to offer a couple of tips that we've picked up in nearly a decade of scooter travel around the world. First, always call your airline's special needs dept in advance to find out what you need to do for travel. You may need to fill out a form, give instructions to the ground crew for removing the battery, remove the battery yourself before checking the scooter...the procedures are different for each airline, and seem to change frequently, but the special needs dept will be able to advise you.
Also, you can gate check the scooter. Let your daughter stay on it until pre-boarding is announced. You're eligible for pre-board, and can check the scooter at that time. Some airlines will actually let her ride it all the way down the jetway, while others ask you to check it before entering the jetway. They will provide a wheelchair if needed. Usually the scooter will be waiting for you at the gate when you arrive, although at smaller airports/off times, they may request that you pick it up at baggage claim. If that's the case, they will provide a wheelchair from the gate to baggage claim.
Don't hurry off the plane. It takes a bit of time to get the scooter to the gate, so you might as well wait comfortably.
At the parks (or anywhere else that you will be all day), always bring the charger. As Sue mentioned, the battery range can vary depending on a lot of factors, and the parks eat up more miles than you might think. There are tons of outlets all over the parks, so it is easy to plug in. We've found that topping off the charge while we eat is a good insurance policy.
I hope this helps! If you have any more questions, feel free to ask!