As @rjs said, in the year of your move you would file a part-year resident tax return for Virginia. There is nothing to file in Florida because Florida has no personal income tax. In the tax years after the year of your move, you would have no income tax obligation to the State of Virginia unless you have Virginia-source income. You can claim your Virginia property tax on your federal tax return if you itemize deductions.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
