30 years ago I lived in Tampa. I remember being miserably hot in the summer time. The humidity and the temperature would both be around 100! Do you have trouble with hot flashes? Also, the mosquitoes are vicious! The winters were real nice. There's also the problem with having both hurricanes and tornadoes plus, if you live near the coast, flooding from storm surges. Although I'm sure there are a lot of people who love living there year round. I'm sure they will be along shortly to tell you good stuff about Florida.
Best wishes on finding the perfect place/job for you and your family.