Per Section 302(a) of the VBTA act of 2018, civilian spouses of active duty servicemember have the option of filing state taxes as a resident of their servicemember's military HOR/SLR.
https://www.congress.gov/bill/115th-congress/senate-bill/2248/text
Thus you and your husband have the option of filing jointly as Ohio residents.
Since you changed your state of residence during the tax year, you would have to file as a part-year resident in each of the two states in which you had residence, UNLESS you elected to file a joint Ohio return with your husband.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.