I would suggest NOT JUST FOLLOWING THE BLUE LINES because sometimes that leads you to a full handicapped parking area or a dead end because they have temporarily moved it.
Let the CM at the booth know you need handicapped parking, put up the placard and make sure all the CMs directing traffic see it.
EPCOT has more than one area, so you may not always be directed to the same spot.
The Studio has a small lot, which fills up quickly. So, be prepared to do a drop off and park in regular parking.
AK has a large lot, but it is quite a distance away from the entrance. It can fill up, but there is other parking nearby (just on the farther reaches).
MK can be a pain, as already mentioned. Plus, you still need to ride either the monorail or ferry boat to the park. Most guests staying at a WDW resort choose to ride the bus to MK, even if they drive to the other parks.
The trams are NOT accessible to ECVs or wheelchairs, so you will need to use the handicapped parking.
There are NO trams at the handicapped parking areas. So, anyone without a mobility device who can step up to get into the tram is better off parking in the regular lot and using the tram.