Lilywhit, and also welcome to Florida. What part of Florida are you moving to?
Not sure about the Tiger Lilies, but if you have tall bearded iris or Dutch iris they might not get enough winter chill down here to bloom well. Suggest you leave some of them at your old place, i.e. don't dig up the whole clump. That way if they fail for you in Florida then at least you can go back and visit them in SC.
Wow, 65 years in your garden? Those are some heirloom bulbs! When you get to your new place, try them in pots at first, so you can move them easily. Or at least plant on the north side of your house where they will be in the shade all winter, to be as cool as possible. My daylilies do best on the north side of the house, even though they don't go dormant.