New easier way to surf the 'net possible ?

OK, I am not a super technical person, thus I never thought of this until now (DUH). I've been using a heavy hot laptop perched on my lap now for several years. It is running from my wireless router, so thats one step into the future I've made. But I am SO tired of holding onto this hot heavy laptop, I want to make the next leap into the future - Would it be fairly easy to put the (Sony Vaio) laptop over on the desk, hook some type of video wire from the laptop's CPU output plug to the input on my new HDEF LCD living-room TV (it has many inputs including SVideo and HDMI ports) - and then get a wireless-keyboard, and have that as the only thing I keep in my lap? What I am not clear on are (1) what type of wire/connection do I need between the laptop's cpu and the digital flatscreen TV, and (2) how do the wireless-keyboards work - again how does it 'transmit' or communicate from the wireless keyboard to the laptop's cpu? is there something that plugs into the side of the computer's ports to 'talk' to the wireless keyboard (which port, USB, ??) Sorry if some of these questions are naive but I am not a real high tech person. Can this be done pretty easily with today's technology? I think it would be SUPER to be able to surf the net, with the PC display on the big screen hdef tv, and just the light little wireless keyboard in my lap. Has anyone done this, or any suggestions/recommendation/help on setting this up - thanks very much !!