And just to clarify further, since you are an OH resident, OH can tax all your income, regardless of where you earn it. But you'll be able to take a credit on your OH return for taxes you pay to non-reciprocal states, such as NJ. As @Hal_Al explained, you do not have to file a return in a reciprocal state unless taxes for that state were mistakenly withheld from your pay.
If you're still working in MI, you should file Michigan Form MI-W4 with your Michigan employer. Here's a link to that form: https://www.michigan.gov/documents/taxes/MI-W4_370050_7.pdf
**Answers are correct to the best of my ability but do not constitute tax or legal advice.
