Or an overstuffed people chair.  My cat thinks it's her throne.  She
wouldn't touch the little pet bed I got her.  They claim what they want:)  I
gave up on furniture.   She uses mine:)

Let's see,  Sissy likes my lap when I sit down to read, she likes my pillow
when I am trying to go to sleep and usually in the morning she is in the
computer room chair.  Oh and the suitcase in the closet which is blue except
for the side she lays on which is mainly white hair now.

Neko like the hard window, the dining room chair and the floor.

They will let you know where they prefer!

Cat's Rule!

What's a Coir mat?  Is it that stiff natural bristle door mat stuff?

And my answer to the original question is "Purr Pads". They are a big hit
around here. Of course the cats still sleep wherever they want, generally  
soft spots when it's cold and hard smooth surfaces when it's hot.