Apartment Houses For Rent In Chicago Illinois 60629 . As of march 2022 the median rental rate in chicago is $1,944 which is $472 (32%) more than the median of $1,472 for cook county, $627 (48%) more than. 2504 w 63rd st, chicago, il 60629. 11807 S Hale Ave, Chicago, IL 60643 4 Bedroom House for Rent for 2,750 from www.zumper.com Showing 25 of 45 results, page 1 of 2. 60629, chicago, cook county, il. Search 3 single family homes for rent in chicago, illinois 60629.