The Erdnase One-Handed is faster than the Charlier. The cover of reaching to the side is decent. It's not a move that can be done completely openly, but if done at the right time is very fast and silent.
It looks like you don't have a lot of control over the bottom packet. Focus on getting that control. You want the deck to look the same before and after the shift, otherwise it's obvious that you did something, even if they don't know what it was.