Added Dec 01 2017
No parking from 3am to 7am on Foster (between Clark and Cental), Kedzie (Irving Pk to Bryn Mawr) and Milwaukee (Cental/Foster intersection to downtown).
You're looking at $60 ticket plus $150 towing fee. This is regardless of snow or not. Technically it started early this morning and I'm sure there are some unhappy drivers today.
Also, on most of the major roads, i.e. Lawrence, Peterson, Kimball, Montrose you're subject to a ticket/two if there is two inch of snow on the ground, regardless of day/time. So beware.