Find 9 furnished houses for rent in Cleveland Heights, OH. There are a few options to consider. A semi-furnished house only comes with the basics, like a bed, couch, tables, and kitchen appliances. A furnished house includes basic furniture and pieces like coffee tables, lamps, nightstands, trash cans. A fully furnished, or turnkey, house comes with everything you need during your stay, including towels, sheets, and kitchenware. No matter which option you choose, a furnished rental offers a seamless transition into a new space.