Congratulations on your acceptance!! FWIW- here are a couple suggestions on where to live- just based on my own experiences of living in Chicago the past 6 years and thinking about easy transit to get to Rush (I've never been a student here though..)
- University Village: about a mile from Rush, tons of students (UIC is right there). There are just some surrounding neighborhoods that I wouldn't walk around in at night.. but that can probably be said for most areas of Chicago
-Wicker Park/Bucktown: a ton going on (restaurants, shopping, parks, etc.), about a 20-30 minute ride on the CTA Blue Line right to Rush. Considered trendy and bohemian-ish although it has definitely gentrified in the past 10 years or so
- Fulton Market/West Loop: very trendy, definitely the neighborhood that's growing the fastest right now. about a 15 minute ride on the Pink Line
Good luck!!