What solution will allow you to watch channels from different sources on TV together (dvb-s2 + internet)?

Question

A television

I would like to find a solution that will allow you to combine TV channels from different sources on one device and manage them from a single remote control and a single list.
Now I have a TV (not smart tv), controlled by a remote control. A small computer is connected to it in 1 video input, it is controlled by a wireless keyboard from which I watch movies and stream TV from the Internet, a DVB-S2 receiver is connected to another port, we watch satellite channels from it, it is controlled by a separate remote control. Total 2 remotes and a keyboard. Switching is awkward.
I would like one device, one remote control and, most importantly, software that would combine satellite and Internet channels into a single list. I thought about replacing the receiver and computer with a single device, but what? To assemble a computer with a DVB card? Or buy a smart receiver on linux/android?
Advise a solution that would support working with such a mixed list through the console.
UPD. That is, launching some application with the same remote control every time to look on the Internet, and then closing and opening another one to see the satellite is not an option.
I would like to set it up once and then just poke the remote control back and forth through the list and watch.

Answer 1

Smart receiver => openbox sx6 hd for example.