The Chicago Department of Transportation's Chicago Bike Map is useful for finding the city's official marked and/or signed bike routes, generally on main streets.
The Chicago Reader's Mellow Chicago Bike Map is handy for finding low-stress cycling itineraries, mostly on side streets, if I do say so myself.
But what if you combined these two maps, sort of like chocolate and peanut butter in a Reese's Peanut Butter Cup -- would it be the bike cartography equivalent of "two great tastes that taste great together," as the old ad used to say?