I am happy to report I made the first incision in the linen cloth I bought way back when. Sewed a pillow slip to fit an oversized pillow that I'd also bought way back when, that had been sitting around unusable without said pillow slip. So that's nice to have out of the way.
I have not yet gotten to the tea towels I want to sew up.
I had thought about weaving dish cloths. Fortunately, I was able to buy a dozen organic cotton dish cloths, so was not forced to the extremity of weaving some to replace my ratty ones. There was a nice moment there when the new ones were washed and stacked, all unsullied and bright white. Now they're in use.
Some of the people I know that spin are also avid weavers. If I ever do wish to weave dish cloths, my weaving friends tell me the pattern to use is New Canaan Check: Waffle Weave in Davison's A Handweaver's Pattern Book, p. 118. They kindly went over with me the way to read weaving patterns. I hope I've retained it.