We were at WDW during the last week of April this year (and are going at the same time next year - same as you!). We found that so long as we avoided early entry parks the crowds were not bad at all. When we did go to MK on an early entry day we found the crowds to be terrible - when we park hopped over to Epcot, however, crowds were very light.
This year we will just sleep the extra bit and head to a non-EE park!
Enjoy!