You know, everyone warned me against HCA without giving an actual reason why aside from some outdated complaints I found online. I ended up going against the consensus. I work for St. Pete Gen now and I have yet to encounter a problem. No one seems that unusually unhappy. Pay and staffing are union-maintained and decent compared to the area. From what I'm seeing, there is good potential for growth, specially considering HCA has a pretty strong foothold in this area.
I work with a lady who also transfered from NY. Fair warning, the pay in FL is significantly less. I transfered from Vegas myself and had to roll with a paycut. I don't have an actually number for you right now but I can probably find my union booklet and give you one when I get home.
St. Pete and Tampa are inundated with hospitals, so you shouldn't have trouble finding work with agencies or as PD/float pool, specially with your experience. Good luck!