Just in case anyone now or later is interested in English options that include AE and international English, It might be useful just to mention that 'blankets and throws' works in AE as well, but 'rugs' is less understandable in this context.
Some AE speakers might have heard of rugs as meaning blankets used in vehicles, whether from the days of horses and carriages or the early days of the automobile, when compartments were not heated or insulated, doors or windows were parly open to the elements, and passengers sometimes needed to cover their laps and legs to protect against cold or even mud, rain, or snow. So I picture a 'car rug' as dating to the same era when, say, drivers wore caps and goggles against the elements.
In modern AE, though, a rug is mainly a carpet or floor mat, unless it's a slang word for a toupee. All those other things are blankets, including picnic blankets, horse blankets, stadium blankets, baby blankets, and blankets for the bed. (Not sure what a fire blanket would be, unless maybe one of those pieces of Mylar-like substance also used for other outdoor purposes.) A small, light covering, often loosely crocheted with a fringe, to drape over a sofa or chair, is a throw. A lightweight piece of similar size and weight for a woman to wear is a shawl.
So for that kind of range of things, I think 'blankets and throws' is a good solution. But depending on how they're made, there might also be other options, like 'knitted and crocheted items,' 'woolens,' etc.