Austin isn't too bad a neighborhood, and you can probably find a decent place on Craigslist without worrying too much about the people you'll be interacting with (if you're subletting for instance). Check out Zillow first for an idea of the average home price, and you'll be okay.
There are a lot of great resources out there for finding an apartment in Austin, Chicago.
Craigslist.org has a great section for rentals and most of these are rentals by owner.
Trulia.com is also a great resource - you can select your neighborhood, what amenities you want and even put in your minimum and maximum you are willing to pay per month.
Another source I would recommend is ApartmentHomeLiving.com. It allows you to choose your state, city and then neighborhood. It has a lot of the same features as Trulia with the ability to choose amenities and prices.
Here are a few more you can try: ForRent.com, Rent.com, WalkScore.com, MyNewPlace.com, and Zillow.com.
I particularly like WalkScore.com because it gives you great information on how 'walkable' the area is, what your commute time will be and if you are near transit.
You can also use the local papers and most of them have an online presence now where you can look for apartments that way too.