I would go for the TV, I think. LED TVs are very nice, bright, and they have a good dynamic range (black is very black, white is nice and bright). They're also low-power and don't have to charge. I don't think I'd use the internet enough to warrant having a smaller device that has to charge. And, while they can play movies, you can't play a DVD on them. You'd have to get the movies on there electronically (newer DVDs usually come with an electronic copy or two) or pay for them again through amazon (I think you can access Netflix on them, but I'm not sure). At any rate, I vote TV
The nook might not have a browser to look things up on, it depends on the model I think. The Kindle Fire definitely has internet access, though you need to have wi-fi in your house to use it (unless you get a data plan for it, which might cost extra money depending on what you can get from the catalog). The Kindle will be best for browsing if you want to look up a tutorial.