Hi Shelly, welcome to the Disney Parks Mom's Panel!
To know
resort price difference between seasons (and weeks) I suggest using Walt Disney World website. Choose from the different options and the system will show available rooms and prices.
If looking for low to moderate crowd levels, I suggest avoiding Easter week and dates close by.
For crowd levels I recommend visiting sites like Touring Plans and Undercover Tourist, both offer good predictions and useful data.
To constantly check on weather history and forecast, sites like Wunderground and Accuweather are really handy.
Personally, I would recommend visiting during the first 2 weeks of April or the last week - great weather and moderate crowds.
Between your 2 dates, May is one of my favorites month to visit and enjoy great crowds, hot weather and awesome special events.
Thank you for visiting and letting us help you plan a magical vacation at Walt Disney World.
Hope to hear again from you.
Miguel