Running the coaxial cable through the wall from an ANTENNA NOT A CABLE BOX
You can poke a hole in the wall and push the cable through the hole , no box is required (this is how a cable company will do it), I usually use a low voltage ring like a wbf-1 this provides a way to mount a cover plate. 
Make sure to seal the entry cable and hole with a quality silicone sealer. 
Your needs for a TV cable box depends on what you have available in your area. At my last home on the side of a mountain I had great digital reception. One of my tv’s had the decoder built in and I purchased a box for ~$10.00 for another. So it depends on your area so we won’t know the answer to that one.