Disnee Dad Says.........................................
You can get from EPCOT to MGM by useing the boat transportation.
You can get from EPCOT to MK by monorail.
Disney transportation is very good. They say they come around every twenty minutes but the average wait is about ten, as you would have to just miss every bus to wait twenty minutes.
And they monitor traffic situations. One time we were dumb and left MK the same time as a million other guests. There were 300-400 guests waiting for our resort!!! The first bus pulls up, five minutes later another bus pulls up and before it even left another bus pulls up! Five minutes later another bus pulls up and after it left within 2 or 3 minutes later another bus pulled up! There were at least 300 people in front of us when we got there, but we were still gone in under 20 minutes!
Disney Magic isn't always pixie dust and characters, sometimes it's five buses in less than 20 minutes!