Corn Gluten Meal
You can suppress the growth of weed seeds early in the season by spreading corn gluten meal over the area where they're growing. Corn gluten meal, a by-product of corn processing that's often used to feed livestock, inhibits the germination of seeds— bear in mind, once the weeds have gone beyond the sprout stage, corn gluten will not affect them. Also, corn gluten doesn't discriminate between seeds you want to sprout and those you don't want, so avoid using corn gluten meal where and when you've sown seeds. It works best in established lawns and perennial beds.
Here's the trick to comfortable, quick weed-pulling:
Put your hands in front of you, thumbs up and palms facing your body, one hand in front of the other. Now roll your hands, like kids do when singing "This old man goes rolling home."
Pinch your forefinger and thumb together as you reach the outermost edge of the imaginary circle your hands are tracing and move your arms to the side as you roll your hands.
With practice, you will be surprised by how quickly you clean up a row in the garden with this movement.
This is your most important long-range weapon against weeds. Mulch well, pull what you can, hoe where you have to and use a handy tool or two for a few minutes whenever you visit your garden. Do these things consistently for a few seasons, and you will slowly, but surely expel the invaders for good.