Hello Sally,
Welcome to the Disney Parks Moms Panel where it's an absolute pleasure for me to assist another Guest from the United Kingdom with their jolly holiday plans to visit the magic of Walt Disney World Resort.
You've made such a great choice by opting to visit select areas of the
Magic Kingdom Park during
Disney Early Morning Magic - Fantasyland; it's sure to be practically perfect in every way!
I totally understand your concerns as Walt Disney World Resort property is rather large and expansive, but in my own experience the
Walt Disney World Bus Service is very reliable and generally speaking runs from
45 minutes before Disney Theme Park opening hours and up to 1 hour after scheduled closing times.
My top tip for fuss free travel is to allow plenty of time between Disney destinations. For example; I usually allow myself at least 1 hour travel time and perhaps even more at peek times such as early mornings or around meal times.
Of course it is possible to arrange a taxi cab from your Disney Resort hotel by simply requesting a Cast Member at
Bell Services (usually located in the Resort lobby area) to call a taxi firm on your behalf.
Wishing you a magical upcoming August summer holiday to Walt Disney World Resort where dreams and wishes really can come true!
Have a great Disney day.
~ Jane