Furnished Apartments For Rent Florence Sc . A 1 bedroom apartment on average will cost you $1,083 and ranges from $690 to $1,365. Apartment rent in florence has increased by 6.2% in the past year. Woodlake Apartments Florence, SC Apartment Finder from www.apartmentfinder.com 977 grove blvd, florence, sc 29501. 2350 freedom boulevard, florence, sc 29505. Select any of the 4 rental units in florence to see photos, reviews, floor plans, school and neighborhood information.