I'd be inclined to contact a lawyer for one reason. As nice as the person who hit you was, that will make zero difference to the insurance company that has to pony up the cash. They have agents that are very skilled at getting you to say the right words to weaken your claim and lessen their payout. They will call you. If you have first called a lawyer, you can say "I'm talking to a lawyer". That silences the caller very fast.
I was hit by a car running a light. Serious injuries. I never talked to the driver, at the scene or since. (I got up quickly from my crash, walked to the corner, sat on the curb and asked a bystander to call an ambulance. I knew I was messed up. But I won't lay in the street awaiting the second hit.)
Ben