I was thinking just to go there, and drive on Addison, Belmont Diversey streets(polish neighborhood right???)
Yes, that whole area has alot of Polish especially Belmont,
The best way to find an apartment is to get the Nadig northwest side press.
There is a local Polish Newspaper also, sorry but these are not available online.
Here`s the best papers for job hunting
chicagotribune.com
dailyherald.com suburban paper, most likley your best bet for jobs.
chicagoreader.com this is a real good one for just the city.
chicago.metromix.com
Well this should keep you busy for awhile.......powodzenia:)