Cable/Satellite Options (1 Viewer)

Hopefully my house-fire rebuild will be finished this month (was already supposed to be back in by now). I previously had Dish Network and another cable company in the past and I can say I was happy with them. I now have added 3 more TV's that will be wall mount and I am not sure what to do for getting the signal to the TV's. All of the wall mount locations have Cat5 and Coax cables run to a box coming from a central area in the basement. I do not want to have to mount "receivers" at each of the locations as I think it would look tacky; is there a way to hook everything up without having to have receiver boxes at each location? I wasn't sure if the remotes could reach the satellite boxes though all the walls? I also wasn't sure if I were to use traditional cable if the TV could access all the channels through the coax cable without a receiver box sitting there. Sorry if it sounds like a dumb question but I have never had wall mount TV's or had to deal with this before.

DirecTV, Dish and Comcast(pretty sure TW has also)

Have "wireless HDMI STB" that run on RF.

DirecTV has had RF for a decade.