Chill hours decide everything
A peach needs a certain number of hours below about 45 degrees in winter before it will break bud properly and flower. Lake County delivers somewhere around 300 to 450 hours in a normal winter and considerably fewer in a warm one. A Georgia or Carolina peach wanting 800 hours will sit there each spring, leaf out raggedly, flower thinly and never give you a crop.
The Florida varieties are bred for exactly this. Florida Prince wants about 150 hours, UFBest around 250, Tropic Beauty about 150. Those numbers are the reason they work here, and they are the first question to ask about any peach anybody offers you.
The other side of low chill is early everything. A Florida peach flowers in January or February and ripens in April or May. That is wonderful, because you are eating peaches before the rest of the country has started, and it does mean a February frost can catch the open flowers.
Thin the fruit, which nobody wants to do
This is the highest-value job on the whole list and almost everybody skips it. A peach sets far more fruit than it can ripen properly. Left alone you get eighty small, dull, stony peaches; thinned to one fruit every six inches along the branch you get thirty large sweet ones off the same tree, the branches do not break, and the tree is in better shape next year.
Do it when the fruitlets are the size of a thumbnail, after the tree's own natural drop has finished. It feels like vandalism. Do it anyway.
Open centre, and brown rot
Prune to a vase shape with an open middle and keep it there. The reason is brown rot: a fungus that turns ripening peaches into grey fuzzy mummies within days in Florida humidity, and the single best defence is sun and air moving through the canopy.
The other half is housekeeping. Every mummified fruit left on the tree or on the ground is next year's infection, so pick them all off and remove them. Peach tree borer is worth a look too: sawdust-like frass and gum low on the trunk is the sign, and keeping mulch and weeds back off the trunk makes the tree much less attractive to it.