cable recommendation please from router to wall?

As long as it is RG-6 solid copper quad shield with a hi-def compression fitting approved by DirecTVfor their installers to use. A store bought cable is likely bogus. Cable techs usually have the good compression fittings, but not always. DirecTV has a high rate of post-op inspection, so their contractors are less likely to skimp on the materials they supply. DirecTV employees are issued quality fittings for free. If you have cable and your installer was a contractor, your installer might have used copper coated aluminum for your coax runs anywhere he knows an inspection won’t happen. They don’t do nearly as many inspections as DirecTv and the fittings really are stupidly expensive. DirecTV also requires all fittings to be changed on preexisting cables used in a system that installer is signing his name to. Same on service calls. Call and ask for your system’s wiring and connectors to be inspected. You should also have an HD barrel present in your cable’s wall plate connector. The visible color inside your barrel ends should be blue. The inner copper wire should not be cut exactly at or below the end of the compression fitting. You should be able to slightly hurt yourself tapping on the business end any coax cable that is not plugged in. If you can tap on the end of it without feeling the wire picking your finger it’s not installed correctly. 

If you want to spend some money to move the ball forward, consider a linear power supply on your router instead of worrying about coax or Ethernet cable.  For a pretty good Ethernet cable at a reasonable price, consider these (link).

Note the seller’s warning about the shielded Cat8 Ethernet cables:

“* This highly double shielded wires may not work with some non-10G equipment which cause “Antenna Effect” bottlenecking network speed (down to less than 100mbps).”

You do not need CAT8 the only cables I use for Ethernet and USB. Very fast shipping and have not been dinged on tariffs (yet) and it is only 10% from the UK anyway. Also agree with @mitch2 on the LPS. Also turn off the Wi-Fi on your router. 

 https://www.hificollective.co.uk/accessories/neotech-neet-1008.html

If you are considering a bit of a cable upgrade I would take a look at WireWorld.  They offer at least three options all of which will meet your needs.  At the expense of getting beat up I actually went with a combination of WireWorld Ethernet cables based on cost and availability on the used market.  I believe the upper end got a little cleaner (more detail). Did not really notice a change in low end.  I replaced my cables between my modem and router, router to music server (SGC i5), server to switch, switch to DAC / Ethernet connection.  Hope this helps.  I would do it again just to take the cables questions off the table.