I have a neighbor who works as an IT Admin at Moffitt. He says it is a good place for oncology nurses, although I had a hard time even pushing my applications through their HR department. Being that they are a Magnet hospital, they only want the best of the best, i.e. BSN, Oncology certification, tons of experience, good credit, etc. I detested their application process and after a few attempts simply gave up on them. Your mileage might vary.
If I were to choose between TGH and Moffitt, I'd go to Tampa General. Their pay and culture are better and they have less arrogance and such.
There's a couple of positions that I saw which call for Infusion nurse w/Chemotherapy certification. That pays nicely. If you have chemotherapy cert, look into Florida Medical Clinic's listings.
Lastly, whatever you earn in Va is going to be invariably more than what most Tampa hospitals pay. You trade dollars in for sunshine, humidity and no state income tax :)