oncology nurse moving to chicago -- any advice?

I'm moving to Chicago in May and am starting my job search. I started at UCLA as a new grad and have since travelled to Stanford and NIH. My experience is in oncology and I just got OCN certified. I only have about 1.5 years experience though. Anyone have any advice on how to get a job in Chicago, etc.? Is it super competitive right now?

And a few more specific questions:
1. How much are Chicago hospitals paying..? I'm used to ~$40-$45/hr and assume it's not that high.
2. Does anyone know what hospitals are particularly known for their oncology units, and does anyone have any in's? According to US News, it's the obvious UChicago, Northwestern, Rush.
3. What's a good place to live for a couple of 24yo young professionals?
4. Do I need a car?

I'm nervous about the move.. any input would help immensely, thanks!