For Me I drop the car at my authorized dealer, he takes care to follow-up with insurance repairs claims and my share for the damages (if any)
Now the proper way :- Call the insurance company about the damage and for where the vehicle can be surveyed, the agents comes takes snaps and allots the repairs which can be claimed.
I'll suggest you to leave the car at your trust worthy 3S dealer, and tell him to follow up with the repairs with insurance ppl.