Hi Cindy,
You are staying at one of my favorite Disney Vacation Club resorts!
Disney's Old Key West Resort is so peaceful and relaxing, with a theme of the Florida Keys. It is a wonderful home base for a Walt Disney World vacation.
It sounds to me like you are looking for the best way to get from Disney Springs to Magic Kingdom after your morning appointment at
Bibbidi Bobbidi Boutique in Disney Springs. I think that the simplest way to do this is to catch a bus from Disney Springs to Disney's Contemporary Resort, from which you can take a quick walk, under 10 minutes, right to the front of Magic Kingdom. If you prefer not to walk, you could also take a bus from Disney Springs to Disney's Grand Floridian Resort & Spa or Disney's Polynesian Villas Resort. From either of these, or from Disney's Contemporary Resort, you can catch a boat or the monorail to Magic Kingdom.
I hope that these ideas are helpful for you, Cindy. Have a wonderful time planning your magical vacation, and please do let us know if you have any further questions.