You should already meet the training requirement for applying in Florida and your MI permit is good for carry in Florida for 90 days after you establish Florida residency. What others have said is mostly true but it's a bit more complicated than "Florida doesn't care . . ." or that the "Permits are identical to what they issue to out of state residents;" they look identical and in Florida are treated as such for most things, but there are a couple of issues that might come up [have to look in Florida and Federal laws that are affected by state of residence (e.g. 1,000 yards of a school, etc.)].
Regardless, there is no address that appears on a Florida Concealed Weapons or Firearms Permit (CWFL) and there is no such thing as a Florida "Resident" or "Non-resident" CWFL, only resident/non-resident privileges in other states that recognize a Florida CWFL. For example, if you're official state of residency is not Florida, then South Carolina does not recognize a Florida CWFL for concealed carry within SC and for every trip I used to make regularly through SC on I-95, I would have to remove the weapon from my person and put it in the center console until I crossed into a neighboring state that did.
Even though there is no address shown on a CWFL, the Florida Department of Agriculture and Customer Service (DOACS) that issues the CWFL does associate the address in the state where you reside in their database and if you change addresses to a Florida residence, all you have to do is go to the DOACS website and fill out the form to change it to your new address.
Sorry this was so long and hope it helps!