I go to AI in Orange County, CA, so my experience could be slightly different than in IL, but I doubt by much since they are all run by the same company. I was able to transfer in many of the GE requirements, including English, computer apps, history, etc, that I had taken at a community college. Not all transfered however (namely math).
I know of a student, though I believe he was graphic design, who went to another private art college in California before attending AIOC-CA, and little to none of his credits transfered. Given the cost of tuition at places like this, that is a huge loss, both in money and time. He had to retake all the basics - color theory, perspective, etc.
If I were you, I'd pick one place and just stick with it. I would highly recommend AI, I like it a lot. I don't know much about Westwood. I have some instructors that work in "the industry", and none have had very good things to say about it. It's up to you to make that decision though. Good luck.