Finding your polling place is easy.  Just visit the Board of Election Commissioners for the City of Chicago at http://www.chicagoelections.com/

Click on "Find Your Election Day Polling Place" on the left of the page.  Enter your address and last name and voila! your polling place will appear.  If you live outside Cook County, your polling place information can also be found from this website.  Just scroll down a bit and choose your county.  Happy Voting!