This link takes you to the Ohio Department of Health’s map of the most current Covid-19 testing sites. Public health centers are in blue and private businesses are in yellow. Many drugstores and grocery stores offer testing. Using the drop-down menu on the right-hand side of the map, select your county to locate the testing site nearest you.
https://coronavirus.ohio.gov/wps/portal/gov/covid-19/testing-ch-centers/
Temporary testing sites will become available in the Cleveland area soon. We expect the Governor of Ohio to announce those locations next week.