Recluse spiders (loxosceles) don't seem to be a major issue in Florida, but you have this nasty looking bastard:

[link|http://woodypest.ifas.ufl.edu/brwidow.htm|http://woodypest.ifa...l.edu/brwidow.htm]

The Brown Widow (latrodectus).

Also check out [link|http://doacs.state.fl.us/~pi/enpp/ento/venomousspiders.htm|http://doacs.state.f...nomousspiders.htm]

(Possibly relevant - Chilean recluse in Winter Haven - about 60mi east of you..[link|http://www.doacs.state.fl.us/%7Epi/enpp/ento/loxoscel.html|http://www.doacs.sta...nto/loxoscel.html])