Start with the monthly payment, not the price
Lenders qualify you on your debt-to-income ratio, but you should budget on the full monthly cost of ownership: principal, interest, taxes, insurance, HOA, utilities, and a maintenance buffer (typically 1% of home value annually).
Cincinnati property taxes vary by district
Property taxes in Hamilton, Butler, Warren, and Clermont counties differ meaningfully. Two homes at the same price can have very different monthly costs once taxes are included.
Rule of thumb
Many financially comfortable Cincinnati buyers keep total housing payment under 28% of gross monthly income. Lenders allow much higher, but the comfort zone is yours, not theirs.