The standard dealing position for a right-handed person is to hold the cards in the left hand, using the right to deal cards. So, right-handed magicians tend to hold the cards in the left hand dealing grip (or what you'll soon come to know as "Mechanics Grip"). You will find right-handed magicians who do things the other way round (John Carney, for example), but I think it'll make your learning easier to do things the usual way. It's how most books and DVDs assume you'll be holding the cards so it'll keep things simple.