Hi there, Jo!
Thanks for seeking me out :)
Chef Mickey's, located in the Contemporary Resort, is definitely a great spot for delicious food and fun character interaction!
The most direct route (aside from using a personal/rented vehicle, of course) is to catch a Disney shuttle to the Magic Kingdom. From the dropoff point, you'll have an easy 7-10 minute walk over to the Contemporary Resort.
Following your meal, depending on the time of day, you can hop a monorail to the Transportation and Ticket Center, and change to the Epcot monorail, jump a bus to Animal Kingdom or Disney's Hollywood Studios, or simply walk right back over to the Magic Kingdom.
Have a great trip - and thank you again!
See you later celebrator,
-Deborah B.