Your laptop probably has a S-video out or a VGA out, and most HDTVs have s-video and VGA input. Your HDTV and laptop S-video may not be compatible, but there are s-video to component cables that will work, they usually come with the notebook or a desktop videocard for free.
But why do you need to hook up a monitor to it? simply copy your files to a external HD and then copy to your new rig. You should have a extenal drive for backup purpuses anyway