As far as your existing guns, outside of Cook County you are OK. Lake County is generally less costly to live in than Cook County anyway. Some minor ammo restrictions as another poster mentioned.
C&R is not much different. There are waiting periods for handguns (72 hours) and long guns (24 hours) that apply for all firearms transactions, including with a dealer, C&R, or private party.
Antique and BP firearms are not exempt. If it goes bang, its a gun and has to follow all the rules. Some air guns are also considered firearms, as are TASERs.
No CC permits, but I think that may change within the next few years. There is finally a solid base of ground roots support for CC permits and that was what was always lacking in previous efforts.
Apply for the FOID card. print the app off the web site. The ISP have made some kind of rule up that you have to print the back side of the app on the back side, even though there is nothing that you have to fill in there, so make sure the back side gets printed on the back side of the form you fill in. You have to get an IL DL first, and AFAIK, they have mostly been using your DL picture for your FOID card photo even though they make you send in two pictures with your app.
Up until a few years ago, some people would have fun with their FOID card photos, dressing up with sombreros and big mustaches was a favorite. Now the ISP send back apps with such photos.