I would say hop on the monorail that runs through the Contemporary Resort - first stop is the TTC (Ticket and Transportation Center). At that stop exit the "Resort" monorail and change to the Epcot monorail which will take you right to the main entrance at Epcot
I agree with WIDisneyFan. Hop on the monorail, exit at the Transportation and Ticket Center (TTC), and change monorails to go to Epcot. Allow approximately 30 minutes travel time from Contemporary to Epcot.
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