We took a taxi. $15 from Congress Plaza to museum
Reasonsble parking close to the museum... hummm.. let see. Anything close its going to be 15-20 for the first hour or less. I don't know about you but I never been to any museum and stay there for less than 4 hours. Down town chicago is very expensive to park. Take the train to the city and walk a little.
Garages will charge you $15-$20 in the area. It is pretty easy to find street parking quite close to museum as well.
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