The only way I'd suggest to ship things from USA to Italy is by Fedex. Always mark the package as "personal effects" (it has to say those exact words.)
This is the only service and way I've found to ensure that the items arrive within a few days and that they aren't held in customs. Any other service/options and you may never get your items.
That being said... I would never suggest anyone send anything to Italy that you can just buy here. A tv would cost at least $200 to send, and you can buy one here for that or not much more (plus the USA one won't work here anyway most likely.)
Same deal for the computer, it's just not worth sending one. By the time you pay for reliable shipping, you can just buy one, and this way you'll avoid all the headaches.