I agree, it will be very crowded that week because Easter is on the 16th. Many schools have off the week prior but many also have off the week after. Good luck. If you can hold off a week, it will be much better.
Weather can be fickle this time of year. It can be gorgeous, but it can also be rainy. (April Showers bring May Flowers)
We have experienced many variations of weather this time of year, from cold fronts to heatwaves to sun to rain. Most don't linger although one year we had 5 straight days of 90 degree plus weather without a drop of rain the last few days of April. Felt more like Arizona than Florida!
But, this is our favorite time to go (late April, early May) during this time of year. We're heading up the last few days of April this year. Then we won't go again until late August, (yes it's hot and even rainy then, but the crowds are very low-so we don't mind).