I was employed in Alabama from January 2022 until March 2022. I then moved to Florida and was employed from March 2022-December 2022. How do I navigate this when filing?

In TurboTax in the My Info section you would select Florida as your resident state.  Where asked if you lived in any other states you would select Yes, the state of Alabama and the date you moved to Florida.  This assumes you did NOT work for an Alabama employer when you became a resident of Florida.

You will need to complete a part year resident Alabama state tax return reporting the income you earned while a resident of Alabama.

Florida does not have a state income tax so there is no Florida state income tax return to complete.

Assuming you actually changed your permanent residence and this is not a temporary arrangement, then you are a part-year resident of Alabama and a part year resident of Florida.  Alabama will only tax you on Alabama-source income.  That means income that was paid to you while physically working or living in Alabama, as well as real estate or other income that is directly tied to Alabama.  (For example, if you sold a house in Alabama, that sale is taxable in Alabama even if it happened after you moved.  Or if you kept your old house as a rental, the rental income is taxable in Alabama even after you move.)

You will need to indicate the date you moved in the program.  You will also need to manually tell Turbotax what part of your income was paid while you were actually living in Alabama, and what part was paid while you were actually living in Florida.  For example, if you had a stock broker account, and you have some capital gains from stock sales you made in February, and other sales in June, only the February sales are taxable in Alabama, but you have to make that allocation.  Ditto for pensions and IRA withdrawals.   Even if your only income is from W-2 jobs, you have to specifically tell Turbotax that one job was Alabama only and one job was Florida only, the program can't figure it out on its own.