Another post recommending, no Strongly Recommending, your next step should be to notify your insurance company, not hire a lawyer, not see what the other guy's insurance will do, none of that. Notify your own insurance company. That is all your liability carriers, your medical carrier and your auto carrier.
I think it very rare if you don't have a clause in your insurance policies requiring you to notify them for all losses, regardless of perceived fault. No notification and technically you have broken your contract with them. Break the contract and the insurance company has a lot of latitude what they do.
Your insurance company(s) may very well take care of the whole thing subject to your deductable and then proceed against the other guy's insurance. You get taken care of with a minumum of hassle. It is way too early to play the "pain and suffering" game. Talk to your own insurance companies first and see just where you stand. Remember that is what the contract with them mandates you do.