I worked in a different state under the same company I work for now at the beginning of 2024, I transferred in May to Florida. How do I file my tax?

What state did you live in before your move to FL?  

Your originating state may require you to file a Part-Year Resident state tax return.  

You do not need to file a FL return since it has no state income tax.

FL has no state income tax so nothing to file for FL.   It would help if we knew what the other state is.   You will have to file at least a part-year return for state #1, but with a few states you might still have to file all year for state #1.