Lots of good answers so far, so I’ll say the same thing, slightly differently.
In your example (your room), everything is colder than you. All the objects are “room temperature”, and your body is warmer than that. So everything you touch (the fabric carpet, the metal doorknob, the ceramic mug, the air) is absorbing heat from your skin.
What you are sensing in terms of what materials feel cooler than others is heat conductivity, the rate that each material transfers heat from the warmer surface to the cooler surface.
If you think of an example like a hot car, the hard surfaces will feel really hot while cloth seats will feel less hot, even at the same temperature.
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