Bindweed requires disturbed soil to propagate, and can be crowded out if you have something that puts cover on the land quickly in spring.
The organic farms often go a high tillage route, which can be damaging, if you don't compensate with green manure. The kind of system they use to get rid of heavy weed infestations:
* Plant an annual crop that gets started FAST in spring. Buckwheat, flax have been suggested. Till it in just after it finishes blooming, before it sets seed. Replant with an annual legume. Peas, lentils, vetch. Till in when just past the bloom stage. Replant with annual rye. It won't have time (in our climate) to set seed before fall. In a warmer climate you may want a 4th crop in the mix.
You have to tune this to your weeds. Often just after tilling it, you have exposed a new set of seeds from the soil. So you don't replant right away, but wait 10 days or so and let the seeds germinate. Then harrow or disk lightly to knock out the seedlings, and plant your next crop.
In terms of your timing, try to avoid having your land open when the airborne seeds are flying. For me that's a couple weeks in June when the air is thick with dandelion, and another time in fall with thistle.
If you use your equipment on 'dirty' fields, it's worth spraying it down before working on the field you are trying to clean.
For market garden work, having a dauber is a great tool. Cleanout port, Chunk of ABSpipe, 3/4" threaded reducer, nipple, valve, nipple, reducer, short chunk of pipe, cement on cap. Drill a hole in the lower cap, about 1/16" in diameter. Fold a washcloth sized hunk of towel until it's about 4" square. Use another scrape about 10" square. Put the folded chunk over the hole, cover with the large scrap, pull tight, and bind to the pipe above the lower reducer using wire or nylon cable ties.
Fill with roundup, mixed at about double strength. It's tempting to use it full strength, but if it's too strong it kills the leaves before it's absorbed.
In use, the bottom valve is just cracked open, and the top cleanout port is also just cracked open so air can get in the pipe. Use it like a walking staff, and plonk down on a weed. Note that it will drip some, so watch where you wave it. Control the rate using the lower valve.
Tips: Fill procedure:
Close valve, remove cleanout plug. Fill. Replace plug. Shake (unless you pre-mixed)
Go to where you need to work.
OVER DIRT hold it upright, crack the plug open, open the valve full for a few seconds until the pad starts to drip. Close valve completely, then crack open.
Use. Roundup (glyphosate) is one of the safest ones to use. If you are working organically, you can try high strength vinegar.
In use the bottom valve is just barely