The house has roof trusses that have a vaulted ceiling in great roomthere are batts iat the joists part of trussesThe great room ceiling is a lower pitch than roofIs it better to inslate the rafter part of the truss, or blow additional insulation at joists?
Firstly, identify the circuit breaker that will supply the new outletThen determine if adding the new load will cause a problemIf no problem with the additional load, then you can turn off the CB, tap into line on that circuit and fish the wires to where you want themThey make a special outlet box for adding a new outlet without disturbing a wall If the new load will trip that CB later, then select another CB to supply the new outlet - or run a new line and add a new CB (PS: Flat screens usually do not pull much of a load, so you will probably be fine using an existing circuit breaker and a nearby circuit)
Look at the attic wiring Most likely all you got is wires to the ceiling light potsso that could mean a single wire Single is a pair or triplet if you count the bare copper ground as a wire from the room's light switch While this has the most room inside the box (because you connections must be made inside a box) the light would have to be on in order to watch TV As the switch controls the power to the light or to power your TV outlet So maybe choose the bathroom light over a bedroom light and run wire from that point and fish So long as all your connections are made inside the box everybody is happy.
Any power wiring you add must be protected from damage by a 'recognized method`I would suggest Wiremold surface racewayIt;s a lot easier than cutting patching wallsYou can find it at the 'Home Depot`They'll have a pamphlet on how to install itIf you have 'basic knowledge`, you can extend the existing circuits with this wirewayThey'll have a pamphlet on this too if you're not sure of your 'knowledge`i would not add any air conditioners or heavy loads, but if they're just convenience outlets there should be no trouble.
Adding An Electrical Outlet
I would recommend 2 waysEither blown in insulation, that will be at least 16 inches tall, or there is a product out there that is an aluminum rap that get's attached to the trussesBasically, it is trapping the heat or cold between the roof and the wrapIf you go this route, I have found that it is still a good idea to have at least 6 inches of blown in insulation at the joistsThe wrap/insulation will be a touch more expensive, but in the long run it will save you a lot more money than the traditional waysIf you have a sears near by, go in and have them set you up to do an in home estimate for the insulation, and they can get it done for a pretty good price.