How do I obtain the insurance carrier information from the car that hit me?

If you were advised already, you should immediately obtain the police accident report from your local police precinct. Bring proper identification if you go to the local precinct. This is the most effective manner of obtaining the report and should be done promptly after the accident. Alternatively, older police reports can be obtained by contacting the Department of Motor Vehicles online at https://dmv.ny.gov/get-accident-report. Of course an attorney retained by you can obtain the report as well.