Hi Priscilla,
I cannot think of a better way to start your vacation than dinner with Mickey Mouse and his pals at
Chef Mickey's!
The best way of getting from Disney's All-Star Movies Resort to Chef Mickey's at Disney's Contemporary Resort using Disney's complimentary transportation would be to catch a bus from your resort to the Magic Kingdom and then from there hop on the monorail or take a short stroll over to the Contemporary Resort.
If you choose to take this method, I would recommend that you be at the bus stop in your resort an hour prior to the time of your dining reservation to ensure that you get to Chef Mickey's on time.
Alternatively, if you are pushed for time, you could always take a cab from your resort straight there. The journey would take approximately 15 minutes.
After dinner why not take a stroll around the resort before watching the Electrical Water Pageant float by the waters of Bay Lake at around 10.10pm.
Wishing you a magical trip!