I've never seen any lockers. We've left our jackets in our car. When we arrive back in Buffalo, I get the car from long term parking, while my wife gets the luggage from the carousel. While I get a little cold for about 10 - 15 minutes, it beats dragging our heavy jackets to Florida and back.
If you don't want to take your coats with you I would suggest putting on a couple of layers and just making due with that. You really won't be outside that long. More than likely you will need a heavy sweater during the winter months in FL anyway. It can cool down a lot in the evening.
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