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I also recently tried Yarns and Colors EPIC cotton, purchased from Adelaide Hills Yarn Company. It’s a lovely soft but sturdy cotton in a great range of colours. It’s also available directly from the Dutch company website.
A very popular cotton is the American made Sugar n Cream. It is just the right weight for kitchen cloths, is affordable and comes in many bright and variegated colours.
There are some beautiful organic cottons out there too, such as Babytoly, which comes in natural as well as bright, happy colours.
I have heard excellent things about the I Love This Cotton brand, though I’ve not tried it myself.
I have also successfully used a bamboo cotton blend for cloths. The end result is a little different, the cloth is heavier when wet and does not tend to wear as well over time. Still, it make a beautiful, soft and absorbent cloth. If you’re interested in trying a blend, something like this Lion Brand Blend, which is 50% bamboo and 50% cotton would work well.