I put a 12 volt cigarette type receptacle under the hood where I ran a coaxial cable directly to where my receiver is. My Direct TV needs to change satellites to pick up some stations. We use one of the receiver from the house.
I use a small inverter for the receiver and front TV. It is a 400 watt unit. it is wired directly to the power distribution center under the hood with #6 wire. I have a plug strip plugged into the inverter that powers the TV satellite, VCR/DVD player and out wireless hub.
I have a second TV in the rear with a separate 150 watt inverter. It is powered from the original 12 volt power receptacle.
You do not have your vehicle in your profile. Your actual installation could or will be different.