My most proliferate weed is volunteer tomatoes....they are simply everywhere. In all stages of growth and in all areas of the garden. Second to that is the crab grass. A light shuffle with the hoe takes them both out of the soil/chips, but they are pretty fast and persistent. I can hoe one day and go back out the next and a fully grown set is standing there waiting on me.
Just got to stay on top of them is all. We'll see how that all goes.