According to Ohio State University, there are very few species of grasses that are adapted to Ohio's climate. Central Ohio falls inside USDA temperate zones 5 and 6, with winter lows that dip as low as -20 degrees F. The recommended grass species include bluegrass, perennial ryegrass and fescue. These winter-hardy grasses will thrive in Central Ohio lawns. Planting these types of grass as seed is not difficult.
Break up the soil on your lawn to a depth of 8 inches with a rototiller. Spread soil amendments over the top and turn these amendments into the soil with your tiller. To lower the soil's pH, add sulfur. In areas where the soil's pH is low, add lime to raise the pH. Apply a nitrogen-rich fertilizer (20-0-0) at a rate of 2 lbs. per 1,000 square feet. Re-grade your lawn with a rake so that it slopes gently away from your home.
Spread the seed with a broadcast spreader at a rate recommended by the seed manufacturer. Walk the spreader in sections covering your lawn in one direction. Apply a second layer of seed by walking your spreader in a path that is perpendicular to the first pattern that you walked.
Water shallowly but frequently every day for up to three weeks until seeds germinate. The ground should remain saturated with water. Taper off your watering until you water once every seven days with no more than 1 inch of water each watering session.