this place is old but cheap, or at least was, when I stayed there in 2006.
It's easy to get to the Red line from there too, which will take you to Roosevelt Road, and you can walk from there to the stadium:
http://daysinnchicago.net/Just got back from london myself (stayed near the gloucester road station). Great place!
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Co-founder, Izzy in the Hizzy Fan Club