The Penguin's a Jinx (2) - S1-E4
Visible crew/equipment: When Penguin is riding the large umbrella across the Penguin line in the wide shot, just as he is about to reach Dawn's terrace, we can see a crew member's two arms reaching out to Penguin and the top of a ladder, at the lower left side of the screen. (00:13:50)
The Penguin's a Jinx (2) - S1-E4
Visible crew/equipment: As Mr. Jay is talking to Bruce and Dick, on the wall behind Dick you can see the shadow of the boom mic. (00:23:45)
Answer: There wasn't one singular city used. It was shot in and around various locations in California, plus on a lot of sets and backlots. Ex. Some scenes were shot in LA, some in Pasadena, some in Santa Barbara, etc.
TedStixon