Furnished Apartments For Rent Greenville South Carolina . Find your next furnished apartment in greenville sc on zillow. Find greenville properties for rent at the best price. Crestmont at Thornblade Greenville SC Rentals from www.corporatehousing.com Greenville sc apartments for rent. Choose from 21 furnished apartments for rent found in greenville, sc. Apartment rent in greenville has increased by 23.8% in the past year.