You have lots of answers at this point and all I'd like to add is that you really really need to have an agent watching the listings daily. The great ones (price, location, value) are gone in a blink. There are investors out there with cash buying up all they can get their hands on.
This war is only helping to increase prices so I would not wait too long for that "best bargain". I live and work here in Rogers Park and I'm seeing it happen before my eyes. A 2 bedroom as you describe on Columbia was listed below $50,000. The cash buyer waited several months for an answer from the bank. The answer was $70,000. That listing is now off the market, canceled by the agent. Get someone to help you with this, an agent, me or someone else who knows the area, to start a search on the MLS.