You can describe someone as a left-hander if they use their left hand rather than their right hand for activities such as writing and sports and for picking things up.
two-hander
a play for two actors
right-hander
You can describe someone as a right-hander if they use their right hand rather than their left hand for activities such as writing and sports and for picking things up.
backhander
A backhander is an amount of money that is illegally paid to someone in a position of authority in order to encourage them to do something.