Glyphosate is a broad-spectrum herbicide used to kill these three weed types. It is widely available as Roundup. All chemicals should be applied according to product guidelines.
The 3 weeds to look for:
Canada Thistle (Cirsium arvense) Because of the plants' extensive rhizomes, three to four applications may be needed. Remove flowers and don't let this plant set seed as it is highly viable and carried easily by summer breezes.
*My primary source for this post is The Know Maintenance Perennial Garden by Roy Diblik. The next post will be 'Other weeds you should know' also inspired by and sourced from Roy's book.
Noted plantsman and designer Roy Diblik has spent more than 30 years studying, growing, and enjoying plants. Roy's recent work includes a planting of the new Oceanarium at the Shedd Aquarium in Chicago and a garden for the modern wing of the Art Institute of Chicago. He is best known as the plantsman behind Piet Oudolf's midwestern garden designs, including the Lurie Garden at Millennium Park in Chicago.