[Storage] [DataMovement] Refactor Try-style methods#46645

nickliu-msft merged 2 commits intoAzure:mainAzure/azure-sdk-for-net:mainfrom

nickliu-msft:fix/storage/TryXYZ_MethodRefactornickliu-msft/azure-sdk-for-net:fix/storage/TryXYZ_MethodRefactorCopy head branch name to clipboard