I normally shape on a floured / semolina board (either is fine) and then once it's the right size and shape I lift onto the peel (which has also been very lightly floured). Once on the peel you can adjust the shape a little to get it back to being as round as possible. Then sauce and top as quickly as you can and then launch.
Lifting to peel (presumably more like lifting a side to allow peel to slide in?) then topping is something I hadn't considered but makes a lot of sense!
I normally shape on a floured / semolina board (either is fine) and then once it's the right size and shape I lift onto the peel (which has also been very lightly floured). Once on the peel you can adjust the shape a little to get it back to being as round as possible. Then sauce and top as quickly as you can and then launch.