Apartments For Rent In Chicago Southwest Side . Apartment hunting in the chicago area? Around 6% of rentals are in the most expensive price range of > $2,000. 8007 S La Salle St 8007 S La Salle St Chicago IL 60620 Apartment Finder from www.apartmentfinder.com Check rates, compare amenities and find your next rental on apartments.com. The average apartment rent in southwest chicago costs. 901 s ashland ave, chicago, il 60607.