Apartments For Rent Chatham Chicago . Use our detailed filters to find the perfect place, then get in touch with the property manager. This property is in close proximity to various restaurants, shopping, banking, laundry and more. Brooke Mill Apartments Ridgeland, SC from www.apartments.com The average rent in chatham, chicago, cook county, il is $782. 8452 s cottage grove ave unit 3s, chicago, il 60619 Discover 5 parks within 3.3 miles, including hamilton park, avalon park, and jackson park.