As cold hands and feet can be so frustrating, annoying, and sometimes almost debilitating, I recommend very warm gloves and socks. It may not be a bad idea to bring along a few of the heated hand warmer packs, especially for the evenings, when temps can really drop, this time of year.
Sometimes, the A/C is cranked up, especially in restaurants, so I make sure to have an extra jacket or sweater along, even in warmer weather. If going to a table service restaurant, ask to be seated away from air conditioning.
AT EPCOT, the presentations at Canada, France, American Adventure, and China last about 30 minutes, on average, and are inside theaters. The American Adventure will be undergoing refurbishment "early January till early February."
At Animal Kingdom, the Festival of the Lion King is inside the Harambe Theater, which is temperature-controlled. The show is extremely entertaining and lasts about 25 minutes.
If menu items are a concern, know that Disney is very attentive to special needs. Let your server know of dietary limitations, if need be. Very often, the chef will visit your table, to make sure that your special needs are accommodated.
Be aware that if you are using Disney transportation between parks or park to hotel, etc., the waits can sometimes be in excess of the stated 20 minutes, which can seem like eternity in cooler weather. If you are staying at a Disney resort and the temps are not comfortable, you may want to inquire if you are eligible for the Minnie Van service for a ride to your destination.
Have a great trip!
