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Have quite a large expanse of solid floor. Short of ripping it up - any practical rugs that work in a kitchen or waste of time as not much heat loss there.
I read that as “insulting”… anyway, slippers is the answer (slip on Sleuth Five Tens here).
Hard to make sense of your question OP.
From the word salad it sounds like:
I have a stone kitchen floor. It is cold on my feet. Can I insulate it?
You could dig it up, lay a concrete float, then insulation, then underfloor heating and screed. Then top with your favorite flooring like Lino, stone, or tiles.
The fastest and cheapest answer is already there: slippers. Or if you’re with the resurgence, Crocs.
Edit. Carpet in the kitchen is a grim prospect. A rug even more so due to the potential for trip hazards and slipping.
We have what I'd describe as a 'lino rug' in the bathroom on the wooden floor.
It's a piece of vinyl flooring, but rug sized and patterned like fake tiles. Warmer (by a smidge) than the currently uninsulated suspended wooden floor it sits on. Wipe clean too. Could work in a kitchen. Will definitely make tiles warmer.
We have a selection of Hug Rugs which catch the dirt off shoes, dogs etc, and wash just fine in the washing machine. Rubber backed so don't slip. Not cheap but just work for our needs.