I merely just carry it around in it's little metal case. I usually explain that the coins are special to me because the half dollar was given to me by my grandfather who passed away, and the English penny is from my aunt when she went to Great Britain. Then I say that I want to show them (spectators) something great that I can do with them and I can accomplish it (the trick) because the coins are so special to me.
But, as stated before, does it really matter how you pull it out? No, it really shouldn't, which is why I just keep them in their case.
Tyler