We'll be there from the 13th to the 19th, for the first time in 19 years. So I'm NOT the right person to ask!
But according to the "Unofficial Guide website, the days we'll be there rank 7's and 8's out of 10 for crowds.
Translation: plan on getting to the parks early, taking an afternoon pool/nap break back at that wonderful pool you have, and get back to the resorts for dinner.