I agree with Andy that heaters should be installed in a location where they are away from combustible things, particularly draperies and bed linens.
I'm not a fan of catalytic heaters for reasons I've written about elsewhere at length; there are better alternatives for boondocking.
But if cats are installed they should not be in the bedroom. Too easy to end up with a sheet, blanket, or article of clothing in contact with them.
To learn to see below the surface, you must adjust your altitude