Scooter Primer:
First, I would say do a little practicing with store scooters. This will get you use to navigating turns and watching for other people. If possible go to a local zoo where you can rent a scooter and get some real practice in. Doing a scooter for a whole day vs. a short trip to a store is a different experience.
With regards to busing it I would take that task away from your mom and highly recommend someone else do the loading and unloading of the scooter for her.
Ride queues can be tricky with all the twists and turns you need to do. Someone may have to take over in that instance, too.
Someone needs to be a good leader; so, she knows where to go at all times.
When you park your scooter make sure to take your valuables with you including the scooter key.
Watch your battery power. There's a guage to see how much power you have left. Conserve your battery power and turn the scooter off for shows and such. In an emergency there are park outlets you can use to recharge; this will take a while. Bring your scooter charger to the parks. Make sure you fully charge the scooter each night.
At the parks you need to use the same ramps as a wheelchair for the scooter. You don't want to jump a curb. This is more tricky around the castle.
It will be a little harder at night driving a scooter even with a scooter light on; so, go slower and be careful.
The scooter driver needs to be alert. There may be kids and even adults that will dart out in front of you.