Need a new set of those tiny rugs for wooden steps, picture below if you don't know what I'm referring to.

Stair Tread Rugs

Got my parents a set from Solutions catalog about 10 years ago, the rubber backing has disintegrated and they're machine washable but they don't really clean up anymore.

Don't care about style/price/material, as long as they're machine washable. If you know a brand without rubber backing but can recommend a separate brand for the rubber, that would be great too.

Also, need a new mat/rug for inside front door. Must be very-low or no-profile. Water absorbent and looks like a rug, not the corrugated style Pic of style I *don't* want

Also machine washable. I can buy a separate rubber for underneath if needed. We don't have harsh winters and we're not muddy people, more concerned about the daily dirt we track through the house (we're a shoes-on family). I've seen ads for a couple different brands floating around, but trust y'alls opinions.

Thanks in advance!