Josh, probably a needless caution, but be sure you don't have any covering where the glue joint is! You'll probably still have to apply some small strips in the joints/seams as mentioned by the other guys. I, too, prefer to cover prior to assemlbly when possible, but make sure I leave bare wood for the glue joints. I think you can get a little better looking job by applying the seam pieces and then lapping the surface covering over them, which is the case when you cover after assembly, as opposed to having them on top, but if you're careful it'll look okay either way.