Do not let weeds set seed. If nothing else, clip those weed flowers and seed heads as you see them. For concrete cracks, kill weeds with a good clipping and boiling water . In the off-season, use cover crops or mulch to prevent weed growth. Rotate crops from year to year.
Weeds hate that, as do pests.
Your weeds make a great addition to a hot compost pile. However, if your compost pile is not regularly maintained, i.e. turned and watered, keep out seeds and invasive weed roots. If you choose to use herbicides, consider non-toxic alternatives. Corn gluten spread on bare earth has been shown to prevent weed growth. A handful of companies are providing gluten products.