The first week of April is generally VERY busy down here, so I'm glad you didn't pick those dates. It's right during Spring Break and Easter. End of April is nicer, it's warming up by then. Weather is hard to predict down here sometimes, but city-data.com gives averages. End of February is nice, not too busy. You'll get several replies on this. Since I live down here, I go to the parks during off season. I know other travelers will give you more tips on which time to visit.