I was rear ended by a car yesterday and the guy doesn't have insurance. What are my options?

By the time I knew this (he gave me expired information at the scene) I had already reported the accident to my insurance company. Now he tells me he’ll pay for my damages, which I believe are simply cosmetic, and not very bad. He said to give him a mechanics quote and he’ll pay for it.

My insurance company has his information, and I am sure they have since figured out that this guy is not insured. Plus, I wasn’t just rear ended, but I hit the car in front of me. Both the front car and the my car were stopped.

What should I do? I’m not sure how I should/could handle this.