For the fastest service, submit an application for an extension using our new My DOR services. Get help using My DOR for estate tax.What is the estate tax? How do I file the estate tax return? Part I – Please complete either Section A or B, whichever is applicable. Calculate how much you'll pay in property taxes on your home, given your location and assessed home value. Compare your rate to the Ohio and U.S. average. Property owners in Cuyahoga County can file an Application for Valuation of Damaged or Destroyed Property with the county fiscal office.