I just got back from MK and EPCOT for EMH...
MK has locations all over; near City Hall, Timekeeper, Small World. It just depends on where you are at (7pm in my case) when they start handing them out.
EPCOT has them near the entrance, at the east and west "communicores", and on the walkway to World Showcase. Since no rides are open in world showcase, I did not see any spots there, but I wouldn't be surprised if there is one by the International Gateway.
Also - I spotted someone answering a question about what was going on and offering to "loan" their resort ID so that the person staying offsite could get wristbands.