David,
Thanks for your question!
The fastest way to get from
Disney's Art of Animation Resort to
Disney's Hollywood Studios is to take the
Disney Skyliner. The first ride lasts about 6 minutes, taking you from your resort to the station at
Disney's Caribbean Beach Resort. When you arrive you just transfer to a second Skyliner that takes you to the Hollywood Studios. That second ride is also about 6 minutes long. So about 12 minutes in the air, and a few minutes transferring from one Skyliner to another.
There is a limited bus service between the resort and the park, but it is not as frequent as most resort-to-park buses, so the Skyliner is by far the best way to go.
By the way, when you are at the resort, make sure you try some of the great dining at the
Landscape of Flavors. Many guests just see it as a standard-issue food court, but it has some fantastic entrees you might not expect, like the Tandoori Boneless Chicken Thighs.
Have a Magical Vacation!
Doug