You go to the police first I suppose. If there is no death or injury, it is not a serious matter for them. Then you go to YOUR insurance company, tell them you reported it, now get insurance to fix your car because YOU DID not do the damage, so they are obligated to fix the car. That is the policy you got. They will tell you you will have to visit 3 independent body shops and get written estimates and bring back to insurance to view over. They then tell you "Ya go ahead to any shop" or not to go to the super expensive shop as it is a rip off and they won't pay for it. Generally the estimates are fairly close with all body shops that do this for a living. There is no shop that is charging sky high rates because their work is going to be the same as the average price. Insurance have already listed which shops are "scams"...and are NOT recommended. They check and compare your estimates with the shops you visited.
. After the work is done, you sign off on the car if it meets with your standard of quality workmanship. By signing off you are allowing the shop to get the money from the insurance company to pay for the work they did to your vehicle.
. You never handle the check. It goes directly into the autobody repair shop account from insurance.(so bank to bank)
If you want the money instead, you won't get it. Insurance is there to provide you with the stuff you had at the quality you had. It is not a Lottery win.
Be fully aware, they will inspect that car for damage and they do play the color matching game. Your car paint is NOT on the vehicle you claim hit you, then there is a problem Houston. Nothing happens to repair your car, as you were trying to scam the insurance company and they do not take kindly to that AT ALL. THEY GOT BIGGER GUNS THEN YOU WILL EVER HAVE. You are up the schitty creek.