Hi Chelci,
Thanks for stopping by the Disney Parks Moms Panel! The answer to this question is...it depends on which area of
Epcot you exit.
If you are exiting from the International Gateway area of Epcot, then I suggest taking the
Ferryboat over to
Disney's Hollywood Studios. It is not "quick" as there three stops along the way, but it is definitely the most relaxing and enjoyable way to get there.
If you are exiting from the front of the Theme Park, then I recommend taking
Disney Bus Transportation over to
Walt Disney World Dolphin Hotel and then walking over to Disney's Hollywood Studios from there.
Epcot and Disney's Hollywood Studios are only a little over a mile apart so, whether you take a Ferryboat, Disney Bus Transportation, or walk the whole way, you will arrive at the Park in a short period of time.
I hope this information helps. Please let us know if we can assist you with any additional vacation planning questions!
Magical Wishes,
Susan