I know how you feel. There are some places in the suburbs and the far southwest side of the city that are worth living in.
Could I suggest this? If you are thinking about moving, do not move anywhere else in this state; especially Will County. You will NOT like it there at all. Neither will you like runners up Grundy and Kankakee. Will County is the worst example of a liar I have ever heard of.
The county lies about its lower taxes, schools, school system, educational value, better ways of life, and scenery (which is mostly farm fields, prairies, and wide open country like down south and out west). Of all the places that are unlike Cook, Will County is the most overrated, stuck up, and dishonest county there is.
Will County either has places like Joliet's east side or pastel white or slightly more "diverse" towns like Beecher, Peotone, Monee, Frankfort, Mokena, etc. You're better off as a Hoosier or something.