start looking online, then pick a few places that you like. around uic, there are a few "big" realtors that rent out properties.
most of the 1st and 2nd years live close to campus, since you spend almost all of your time there. the neighborhood west of campus (from ogden to western) is cheaper but some parts of it are really sketchy. east of campus and all the way to the east campus on halsted is a little more expensive but is a nicer area in general.
i would avoid taylor place (now named city view, i believe) on taylor and ashland like the plague. the rents there are ridiculous and the units aren't worth it.
m3s and m4s tend to scatter across the city, usually northwards into wicker park, bucktown, lincoln park, with some in streeterville and the gold coast (pricier areas).