Insurance
You can choose your shop
If your insurer has network shops, you can often pick another, as long as that shop accepts the same terms (including price) as its most generous arrangement. Before repairs, the shop has you sign a notice that this may affect a manufacturer warranty or lease.
Rules vary by state.
Price
A written estimate, no surprises
The estimate must list parts and costs, labor, your vehicle, mileage, estimated delivery date, warranty terms and the shop's license number. Fees for the estimate, storage or disposal are disclosed in writing up front.
Ask for a written copy.
License
Body shops are often licensed
Many states license auto body repair facilities (full service, limited and others). The license number appears on your written estimate.
Ask to see the license number.