Quoted from GLSP3022:Lawyer up and dont talk to the insurance company. A lot of places don't charge unless they win.
In the future, grab a dashcam. Saved my butt from a crooked cop that tried to say I ran a red light that was clearly green. Once I drew attention to the cam, he immediately lost interest and I was on my way. Good ones can be had for $50.
Nobody was injured. Not likely to get an attorney to take this on a contingency basis. A lawyer shouldn't be needed on a rear end accident for property damage