Technically it's not possible to do that, because you must claim the homestead exemption in the state that is your permananent residence, and you can only have one state as permanent residence since you must spend more than 180 days in that place.
File a Declaration of Domicile provided by the County Clerk of the county to which you are moving. Each county generally makes the form available on its website. Rescind your personal residence exemption in the Michigan county you formerly claimed as your residence. Register to vote in your new Florida county.
Public Act 74 of 1995 provides for an exemption to be filed by mail or in person at the July or December Board of Review for the year of the claim, or the following year's July or December Board of Review. To petition the Board of Review you must submit a signed Affidavit for Homestead Exemption (form 2368).
To get a homestead deduction on your Florida taxes, you have to fill out an application form, the DR-501, and demonstrate proof of residence by March 1 of the year for which you wish to qualify.
First-time Homestead Exemption applicants and persons applying for the Homestead Assessment Difference (Portability) can file online.