Yes to regular shampooing. My carpet cleaner man will do pathways if I ask rather than shifting beds around. But have you thought about sheepskin ? washable ones are lovely to put your feet on in the morning . The other thing I used to use in front of a fire which invariably spat cinders was a flokati rug. I don't know what they cost now but used to be very cheap and cheerful and washable. I saw them in Greece and they sold them in the market here and they seemed to grip the floor well.
Voting. I’m so glad we still have the ‘old fashioned’ system…
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