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For state income tax purposes, you are an Ohio resident until you establish residency in Kentucky.  Here is Kentucky's definition of "resident":  

 

"Resident" means an individual domiciled within this state or an individual who is
not domiciled in this state, but maintains a place of abode in this state and spends in
the aggregate more than one hundred eighty-three (183) days of the taxable year in
this state.  https://apps.legislature.ky.gov/law/statutes/statute.aspx?id=47361

 

Your "domicile" is your main, permanent home.  A taxpayer can have only one domicile at a time.

**Answers are correct to the best of my ability but do not constitute tax or legal advice.