Piccolo = small handle; Grande = big handle. "Testina Gentile" is the closed-comb head and it's available with either handle. They don't have a specific designation for the open comb model afaik.
Neither handle is Large. I would describe the Piccolo as Teeny (like a ball-end Tech) and the Grande as Medium (similar to a typical Merkur / Edwin Jagger / Muhle handle).
Another good one from the dude behind Stirling soaps: https://www.youtube.com/watch?v=F2X6YfAI3xQ