Batsman, batting, right-hander, left-hander

A batsman is a player who endeavours to use his bat to make contact with the ball to score runs or, at the least, prevent the ball from hitting the stumps and batting describes doing this.
While facing the bowling a batsman is known as the striker, to distinguish him from his colleague - the non-striker - standing at the bowler's end.

The right-handed striker stands at the crease with his bat to the right of his body, holding the bat with right hand lower than his left on the bat handle. The opposite sides apply to the left-handed striker.