I lived down in Florida for a year (Naples), absolutely could not stand it. Awesome to spend a few weeks (or Months) down there, especially during the Winter, but all and all the vast Majority of Florida is a giant shithole.
When it comes to jobs/opportunities, yes they exist, but outside of the Major Cities the Economy is often times highly unstable and heavily seasonal. Health care (again outside of the Major Cities) is atrocious as well. Be prepared for sub-par Management, high turnover, and lack of Education in the workplace.
In regards to the weather yes it is warm all year, but from May 1st to November 1st it's 92 degrees and 92 percent humidity every.single.day. I can't think of a worse environment to wrench in, it is downright disgusting. Personally I rarely went out in the summer because it was so goddamn swampy. Picture the worst, hottest, stickyiest day here, then multiply it by 180.
Another thing to consider is your parents/Dad's health. Not sure how old you/they are, but man, serious Health issues can and probably will pop up sooner rather then later. Being at least a two-day drive away from Family during these crisis is often times a disaster of unimaginable proportions.
Have you considered moving a little less South? Tennesee/North Carolina are bad-ass. Yes, they get somewhat of a Winter, but usually the temps hover right around the 40 degree mark.