Florida does not have any state income tax, therefore you will not need to file an income tax return for Florida. For Arizona, you will file a part-year resident return this year.
When entering your personal information into TurboTax, be sure to specify that you moved to a different state and the date you moved. TurboTax will guide you through the process of filing the partial year state return.
Here is some more information about how to file a part-year return in TurboTax:
https://ttlc.intuit.com/replies/3302008
