Bluegiller....maybe a product called Preen?It's supposed to be safe for veggies. My brother has used it. It used to be very expensive, but prices have come down. I do believe it's a corn based hebicide.
Just a dumb question. Is the area you are planting a new bed this year or an old plot? I have thought very seriously about picking a spot, and continually tilling through a summer or two, and letting the weed seeds germinate, only to til under, and let sprout again. It's truly amazing how many weed seeds are in the soil.
