Apartment For Rent In Chicago Il 60607 . Browse apartments for rent in the 60607 zip code, il with rents starting from $775! We found exactly 307 apartments for rent in the 60607 zip code of chicago metro, il. Hyde Park Apartments for Rent Chicago, IL RENTCafé from www.rentcafe.com View photos, property details and find the perfect listing today. Emme chicago apartments, chicago, il 60607. 4 beds • 1 bath.