I have been going to WDW in June since I was one and am now twenty. Yes, it is hot and humid at times. But take advantage of your hotel, if you are on property, pop back to your hotel for a swim. Staying all day in a park is no place for a 2 year old. Come back when it is a little cooler. Your 2 year old will love playing in the pool instead of waiting in sticky lines. And yes, it does rain almost everyday in june, but only for a couple of hours in the afternoon, then the sun comes out like nothing happened. Hope you have a great trip. And don't push yourselves to hard, remember, it's a vacation.