Many thanks to every one who sent advice about body shops (for cars, that is.) Here are the suggestions I received.
Bonura and Sattler (412-361-8829) on Washington Boulevard and Iezzi's (412-361-7022) on Bryant St each received 7 recommendations. We used Bonura and Sattler and they did excellent work and were very, very nice in the bargain. They detected damage that another body shop missed and still came in a bit under our insurance estimate.
Armstrong at 5470 Penn Ave (412-661-4958) and Mike's on Meadow Street each received 3 recommendations.
Other recommended shops were:
Kenny in an alleyway off Baum Blvd.
Petraglia's on Liberty Ave past the Bloomfield Bridge (412-682-5430)
C&R Collision on North Craig St (412-621-6905) Ask for Rocco
Pittsburgh Collision on Butler Street across from the Fleming Bridge. They are a direct payment site for State Farm.
Direct Repair Services on Route 8
Rohrich Honda
Lynn Cox