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Hello and thank you for using Just Answer,As you will be working in Cincinnati you will still be liable for nonresident tax in Ohio and reporting your change of residency to your employer is important.You will be a part year resident for Oklahoma and part year for Ohio when you file the first year of the move. Oklahoma will allow for a credit on the taxes you pay to Ohio during your residency period in Oklahoma. There after you will be resident Oklahoma and Nonresident Ohio. Oklahoma will still allow for a credit.
You will not be a resident of KY. You would be a nonresident but with no KY income sourced to KY you would not be taxed by that state.
You addressed "Marsha" when you first posted. That expert is either not online or not a Tax expert so your question was (possibly) moved to the Tax category or opened for other Tax Experts to address so you would not have to wait.
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