Katie,
Thanks for stopping by with your question. I answered a
very similar question about travel in late January 2014 just the other day. Absolutely, late January and early February can be a lot quieter than the popular fall season. Obviously, there is no guarantee that there won't be crowds, but that time of year is some ways the "calm before the spring break storm".
The weather in the early winter is fairly mild with highs in the low 70s. The nights can get chilly dipping down to the 50s. As with most of the year in Florida, there is always a chance for rain. So, if you decide on this time of year, just remember to pack some layers and bring a waterproof jacket, just in case.
The water parks tend to close for refurbishment in the winter and there are always a few rides closed for maintenance and refurbishments. However, this far in advance, there is no way to tell you if or when specific rides might be closed for 2014.
Good luck and pixie dust in your planning and feel free to stop by if you have more questions.
~Allison L