I would do the french drop...do a classic palm or a retention vanish.,... then maybe a spider vanish... But what I have been practicing are the wand moves from Ammar's Complete Cups and Balls Volume 2. But applying them to coins, etc...I'll do a strike Vanish... or one of the other wand vanishes with a wand, or pen...
The best reason is that after the first two vanishes, people may start suspecting you don't really put the coin in the other hand. Do what Dai Vernon used to do to take the heat off the retaining hand... Fake a retention vanish... or a classic palm vanish, then ..as an after thought say... " you know some people think I don't put the coin in the other hand...but I put the coin in the other hand.. * show coin in left hand.* ...* Do strike, any wand vanish etc..*... it's really magic

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Get them used to thinking it doesn't go into the left hand then admit yourself that that is what people " suspect" then do a vanish with the coin in the left hand... makes it harder to reconstruct.