I've lived in both although Florida was a long time ago.
First, when you say "Florida", there are really 3 distinct areas to Florida in my mind: North Florida (Pensacola to Jacksonville), Central Florida (Lake City to Orlando and all east-west), and South Florida (below Orlando). To me each is REALLY different.
North Florida is like part of Alabama and Georgia culturally. It still has seasons and has a Southern feel. South Florida is your tropics zone where the average daily low temp doesn't get below freezing. It has a more international feel and more rushed on the east coast and newer more senior feel on the west coast. Central is a mix of the two.
Georgia is mostly the Atlanta area with its suburbs (I call it Gotham City). Traffic is TERRIBLE. North GA in the mountains is nice. Coastal areas like Savannah feel almost like Florida. Central and South GA is agricultural mostly.
Given the choice of the two, I would move to North Florida.
Bama Ed
PS - of the two Florida coasts I prefer the Gulf side 100X more than the Atlantic side. Nicer beaches and warmer water on the Gulf Side to me, anyway.