Furnished Ohio apartments for rent, sublets, temporary and corporate housing rentals. Find 3154 flexible and convenient short-term apartments for rent in Columbus.If you have a month-to-month lease, your landlord usually has to give you notice at least 30 days before the date they want the lease to end. Find 151 flexible and convenient short-term apartments for rent in Cuyahoga Falls. Apartments with Short-Term and Long-Term Leases in Columbus, Ohio. Ardent Communities offers flexible short-term leases on our apartments, townhouses and homes. Step 3: Fill out and submit the shortterm rental application inperson, or use the drop box, at the License. Section. Explore the aspects of lease termination in Ohio, focusing on landlord obligations, tenant rights, legal conditions, and potential penalties. In the event that Landlord accepts new rent from Tenant after the termination date, a month-to month tenancy shall be created. Monthly Leases - 30 days of notice.