Streaming HDMI
Have you considered a slingbox?
There are various models but you want one with a hdmi input.
Plug your hdmi source into it. Connect the ethernet cable to your home network.
Install the slingbox app onto your wireless devices.
The slingbox can support remote signalling so if it's a satellite receiver, you can change channels on it
You may be able to use an internet browser in place of the slingbox app.
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