Well, the Watertown/Ft. Drum area has good schools all over. I would say that Carthage, Indian River, General Brown and Sackets Harbor are the best, among others. Watertown schools aren't that bad and is the biggest city in the area too. It's Fall here and I think most will say it is the best time of the year around here. It's still in the 70's during the day and the 50's at night. Your wardrobe will change, as you will have to get a good jacket for the Winter and some sweaters, long sleeved shirts and boots. If you're not use to driving in the snow, you should at least get all-weather tires or if you definately aren't sure, get snow tires for the Winter. You're probably going to need them about the time you are to move up here. Here's some information about daycare in the area:
watertown, ny daycare - Google Search
Here is some information about schools in the area too:https://www.nystart.gov/publicweb/County.do?year=2007&county=Jefferson (broken link)
New York schools - NY elementary, middle and high school information
The best way to get up here from Florida would be I-95 to I-83(take the Beltway around Baltimore before getting on that route) to I-81(will get on that route at around Harrisburg) and that will take you all the way to Ft. Drum.
Here's some rental information too:
Watertown Apartments for Rent - Find Watertown, NY Apartment Rentals"
watertown apts/housing for rent classifieds - craigslist
Homes for Rent, Apartments, Houses for Rent, Rental Homes (http://www.rentals.com/Home-Rentals/Searchresults.aspx - broken link)
Watertown Apartments For Rent in Watertown NY Yellow Pages by SuperPages
There is a zoo in Watertown and a beach on Lake Ontario between Henderson and Sackets Harbor, among other thngs. Here is more info.:
VISIT THE 1000 ISLANDS » Welcome
Visit 1000 Islands : Virtual Travel Guide : Thousand Islands Tourism Council : Watertown (http://www.visit1000islands.com/watertown.asp - broken link)
Scitech - Home
Greater Watertown North Country Chamber of CommerceWatertown New York Attractions, Watertown NY, Watertown Fishing, Camping, Watertown Events, Rafting, Golf, Fort Drum NY Recreation
Hope this helps.