If you're going to show level chances are the tanks will need to be pulled and dents tapped out. You may need to remove them regardless. I recently had mine re-cored, and I think to have it reworked to show condition would have added $200-300 to the bill, but it sounds like you are doing the work? I saw a couple Legends cars at the Camaro Nationals that looked over-restored, much prettier radiator than how they left the factory. I'm not sure if your car will be a driver or show. Before you get into it, ensure it is really the original or date correct if doing a show level resto. Any doubts post pictures here and the experts will comment.
The tags are important - if you send it out, ensure the shop knows to keep them and reinstall exactly if it's taken apart for repair. Take pics before you drop it off.