To add to @RoDob, if you plan on using the train or bus a lot, try to avoid having to transfer lines if you can help it. That can help save some commute time. Street parking in the West Loop can be a pain as well unless your apartment/condo has reserved parking or you can also pay for a monthly parking spot. I live in north Chicago, so will probably be riding the bus or biking a lot, LOL.
Oh, regarding apartment rent, I have no idea how much the monthly cost is near Rush, but many landlords may require a full month rent plus deposit and background check/references before signing a lease. I just wanted you to be prepared that you may have to shell out some funds to sign.
@RoDob, are you going to be mainly driving or taking Metra?