Wish I were leaving on Nov 30 (my DS's bday!)
Where are you staying?? How long will you be staying???
You should have no problems with crowds and the weather should be mild (sometimes it can get cold, so check the forecast before you go. Definitely bring a reclining stroller (but one that is not too heavy). I know that Graco makes a lightweight stroller that reclines (not all the way) and has a basket underneath and sunshade. Put a brgith colored bandana on your stroller so you can find it easily after the rides. Since little ones are up early, be at the parks before opening. Be aware of where the baby care centers are located in each park . Go slowly , at their pace, and leave for a break before the meltdown starts. We took our DS last Nov and even with shorter hours, we did take breaks and still saw all we wanted. We would go back to our hotel, swim for about 20 minutes and then go up to the room and relax. He would play with his toys from home for a little while, have a snack and really enjoyed this quiet time. He even napped one day.DH and I spent the time resting, writing our trip report and planning our evening .Then we would get dressed and go back to a park for dinner. Be careful with the fireworks. Our DS started screaming when Illuminations started and we had to run out of the park.Since Ecpot was open later we did that park two nights. It is great at night with little ones. They have fountains that light up to music and the TOD parade was amazing. My son LOVED it. Make sure to pack little snacks and drinks for them and buy them each a little stuffed toy to hold on to. If they react well to characters, do a character meal. The Garden Grill at Epcot for dinner was the hightlight of our trip. Ask to sit on the lower level. It is all you can eat and they bring the food to your table. Mickey, Pluto, Chip and Dale are there.
My friend's DD was lost at WDW when she was two.
We always put a sticker (I just pack a marker and roll of masking tape) on his back with our cell phone number on it, in case he's lost. I put in on each outfit.
It did rain few times on our trip, but not for long- don't forget those ponchos!
November/December is a lovely time to go!