I am pretty sure this is a female jumping spider in the Habronattus family. There are eleven species of Habronattus in Florida, and, alas, they are primarily differentiated by the microscopic morphology of male pedipalps. This is a female spider (male jumping spiders tend to be more brightly colored than the females), and I have no microscope, so…Habronattus it is.
She was not happy about how close my camera had to get to render her visible (she’s about 7mm long), and held up four tiny fingers to show her displeasure: