Unfortunately, the Florida homestead exemption only applies to a home if it is your primary residence. If at any time you change the status of your primary residence to a rental property, it is no longer eligible for the homestead exemption. Effective January 1st of this year, there were some changes to the laws that affect property taxes, and rental properties were included in some of the benefits as far as the tax rates being capped at a 10% increase, but rental properties still do not qualify for the homestead exemption. It is hard to say what Citizens Property Insurance means by the statement you quoted, but you may want to call them and inquire.
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