Lana,
If time is tight, my first recommendation is to always take a taxi. I know that it is an added cost, but if you can afford it, you will minimize stress and overcome the chance of missing a reservation.
But who amongst us is made of money? Not me!
So what I would do in your case is after your Bibbidi Bobbidi Boutique appointment, catch a bus to any of these, in this order of preference;
- Beach Club Resort
- Yacht Club Resort
- BoardWalk Inn
- Dolphin & Swan Hotels
In the first three cases you are now a short walk from the International Gateway to Epcot. In the last you might be better with a boat ride to the Gateway, especially if you have some younger children with you.
Write me back if you have more questions!
Have a magical vacation!