Non-Compete Agreements: I Want to Compete. I Am in Illinois, Company Was Purchased by California Company

My question involves labor and employment law for the state of: Illinois and California

I signed a non compete for one year. The contract is fairly vague in terms of location, however it has strict language. That being said, the company was purchased by a private equity firm in California, so my paychecks were being sent from CA.

I believe I read something about the non-compete not being legal in CA.

If I incorporate my new company in CA, would I be good to go?

I left the company about 6 weeks ago.

Non-Compete Agreements: I Want to Compete. I Am in Illinois, Company Was Purchased by California Company