Chicago is a great fucking city. If you like food that there's your place.
If you can, catch a Cubs game. Even if you're not a baseball fan you'll still have fun. Wrigley Field is probably the best place to watch a game because everybody there is having a great time.
As for Cabrini Green, they're in the process of tearing it down and placing high dollar condos and town homes. It looks nothing like it used to.