Well, I think I'm going to start weeding selectively with my hoe. Clearing the grass and buttercups, some broad-leaved dock and others. And the speedwells, yellow sorrel and
dandelions, I'm going to keep them. The dandelion leaves can be eaten in
pancakes, the yellow sorrel can be made into a drink. The speedwells and yellow sorrel make a good groundcover. That way I don't have to buy any seed and a groundcover may gradually form.
I think I have veronica persica or common-field speedwell in my garden. It likes a fertile loam soil but it tolerates poor soils. That explains why it is thriving in my cold frame. I have better soil in there.
I am glad I have sparked your interest a bit, thanks for your input.