Apartments For Rent In Chicago Bronzeville Area . A rental apartment unit in bronzeville is on the average $2,920. Last updated april 13 at 10:15 pm. 118 E 44th St, Chicago, IL 60653 3 Bed, 1 Bath Townhouse For Rent from www.trulia.com Use our detailed filters to find the perfect place, then get in touch with the property manager. The average apartment rent in this residential area costs you $2,924. The average home rent in bronzeville is $2,351.