By "TV playback card", do you mean "TV card", or "graphics card"?
Obviously you will need a TV card for the notebook (to receive TV via an aerial), I would recommend the KWorld USB stick (look at the wiki).
With regards to hooking it up to the TV, what video out ports/sockets are there on the back of the notebook? VGA is the norm, which should be OK for an HD TV. If the TV is SD, it might be more difficult as I would say that s-video/component/composite is more rare on the back of notebooks.