do you experience freezes? If no, you can plant anytime to let the starts establish roots. If you do experience frost or temps close to freezing, plant in early Spring. The trick is to remove all flowers and small fruit until around May. For June bearing varieties, most sources will recommend removing all fruit the first year to promote strong runners for a great crop the following year but I don't follow this.
It is absolutely true for June bearing varieties that the fruit produced from the strongest runners will produce the best, largest and tastiest fruit the following year.
I highly recommend Mara Des Boise, it is a smoker berry but one of the tastiest. The alpine and musk strawberries are great but they are tiny tiny but pack a super strong strawberry aroma and flavor although they are not juicy. Be prepared to fight aphids and fungal diseases. Albion, Sequoia and Quinalt are all very tasty, because you are in Florida and I assume you have high humidity, I would recommend a disease resistant variety from Florida but try Mara Des Boise, it's amazing! Absolutely my favorite strawberry!
Simon