Weeds, Weeds and more Weeds

We live across from a park and field which is overrun by dandelions. Every year when they go to seed you can imagine how many blow into our grass and gardens. So I spent yesterday afternoon weeding our front gardens. Dandelion roots go quite deep so they can be a pain to remove. We don't use herbicides so we have to dig them out. If there aren't plants in the immediate area I will use vinegar and water to kill them but it will also kill anything else it hits so you have to be careful not to hit your good plants. Although it doesn't matter how often I weed them, there are always more within a few days.