JQuery :: Move Selection From One Box To Another Box?

I'm looking to create a screen where there's a box on the left and a box on the right. The left box contains names which can be moved to the box on the right. Between the two boxes will be two buttons, one labeled ">>" to move from left to right and the other labeled "<<" to move from the right to the left.

I've seen this many times but need to create one myself. At first I was thinking of using selection lists with a size of 20 to give it height and also set the width. Then, when a selection is highlighted, the user can click the buttons in the middle to move the selection from one box to the other. Using a selection list gives me access to each individual selection and on the click of the button, I can remove that selection from one list and append it to the other. The problem with this approach is that the grayed out scrollbar is visible. So, I was thinking of using a textarea and that is what brought me here. Does anyone know of such a tool before I try reinventing it?