Depends on what kind they are.

Mulching with something like cardboard or newspaper layered thick, or black plastic, is a very effective method, but might not be possible for your whole garden. Large amounts of cardboard can be found behind big stores. Then you can transplant your plants into small slits you cut into this mulch. You might get a few weeds coming up through the hole right next to the vegetable stem and you'll have to remove those by hand once or twice, but then the vegetable should get big enough to shade out any later emerging weeds. Weigh the layer down so it doesn't blow away, with stones, planks, compost or mulch.

Cardboard or newspaper decompose eventually, especially if you cover them the whole time with compost or mulch, and especially if it stays damp.

Plastic has to be removed at the end of the season. If you reuse it the next year, or if you want to plant a second crop after harvesting the first one in a single season, you are a bit limited by the spacing of the holes you made the first time. So if you go the plastic route, give some thought to making standard areas that correspond to each of your crops, so you can rotate them around the garden the next year.

You can do "staling" ...lure them up and kill them off before planting.

http://lazygardens.blogspot.com/2016/11/dealing-with-weed-seeds-in-compost.html

Basically, kill what's there with the herbicide of choice (glyphosate), then till and do whatever you do to get the beds ready to plant ahead of time, but don't plant yet.

Water the plots well to lure the weeds up and kill them with herbicide or fire - anything that doesn't bring new seeds to the surface - don't till. Repeat this a few times, then plant without disturbing the surface.

It will minimize the number of weeds that will sprout.
http://lazygardens.blogspot.com/2016/12/weed-control-methods-flame-throwers-and.html

Throughout the growing season and afterward, keep them from going to seed! Weed as needed.

Thank you.

I used eraser [glyphosate] on weeds a couple of growing seasons and it worked well. Believe it or not, the next 2 yrs I had about a 5-10% germination rate. The glyphosate actually sterilized the soil. I didn't figure it out until a year later.

What I have done [over the last 4-5 months] is piled-up cut branches from live oaks, cedar and other up to 2-3ft tall throughout the garden. All of the old weed stalks and other are still there too. I plan on burning the entire plot of branches, hoping to disintegrate the last years [2016] surface seeds and everything else as well. The potash remains should be good for the soil. Once I've done this, I'm going to till it and see if I can get the next rd of seeds up and going before any site of seeds. I'm going to repeat this process until the germination rate is null to little enough that I can easily deal w mechanical removal.

If there is anything else you guys can suggest, I'm open to ideas. I think I will have to forego this years spring/summer planting to do it right. I would have burned the branches already, but every time I've been out there it's either recently rained [which I will never complain] or the winds have been too strong. The rest of the areas are green, but I just do not want to take the chance.

Again, thank you very much for your suggestions. I'll post back on the results.

PS - as far as weed types, goat weed and a grass like weed that puts out seed pods like Bermuda grass and branches out runners too. I looked at a weed ID chart and could not find it