I am booked for that time period. New York is on a week long April break that week. What I saw was many crowd projections go from a "4-5" range to "6" or better (very few 7s, to be fair) once we got past people just using the historical data. With Easter being very early this year, there was a much larger portion of April that looked like it was going to have nice weather and low crowds. It seems like me and about 30,000 other people from NYS decided this was too good to pass up. I know for sure that Southwest Airline reacted to high demand for flights; I ended up using 80,000 frequent flier points on 2 RT tickets from Albany to MCO )They can normally be had for 1/3 of that).
I think using "Best Park" choices and solid use of FP+, Rope Drop strategies, and sensible touring plan will make your trip fairly stress free. You may have some difficulties booking dining at this point, but if you are flexible with your choices you'll be fine.