The fare cards are also used on the CTA buses. It takes about 30-40 minutes from the airport to the downtown stops. The downtown stops are about 4 blocks away from the hotel. The Midway line is a bit less distant than the O'Hare line. The lake is East.
All addresses are distance from a single point -Madison and State.
You're also at Wrigley Field, but that's another story. Chicagoans do not use interstate numbers, we use names for the expressways. Now that you're thoroughly confused, navigating around the Chicago expressway system is easier than it looks. Take Congress street until you get to Michigan Avenue. You will want to start getting into the right lane about Washington Street.