I was with our Highschool band at Disney, the day after Easter.
MGM on Monday, used Fast Pass and saw almost the whole park with no waiting.
Tuesday, Did Splash, Train Rollar Coaster and Space all by 10, then parks got packed, but still walked on Pirates, Swiss Family that whole park, and Haunted Mansion and the Boat Ride, we stayed away from Stroller Heaven Area.
Epcot on Thursday was virtually empty, walked on everything except TT, but got single tickets and Fast Pass. Single got us right on and we gave away our Fast Pass.
I think now till summer will be an excellent time to go. Good Luck!