Re: Adding dedicated circuit for new TV...
If you have access above the ceiling (attic) or below the floor (craw space or basement) it's easy to run cable and drill hole in sill or cap to get new wire to new outlet. If you don't then running cable inside may require cutting access holes in your drywall. If you have easy access to the outside you can run the conduit down and bury the conduit rather than attaching it to the side of the house.
Not knowing your house makes it very difficult to be more specific.
Be sure you live your life, because you are a long time dead.-Scottish Proverb