We covered much of our yard with gravel .. and then red fine dust/gravel. No bindweed coming up through that one year later. Three beds around the edge we saved.
started serious weeding with a hoe in spring. then in the three areas:
1) tomatoes volunteered, which blocked the minor bindweed that was in that area
2) tomatoes and parsley planted, and continued weeding, and then lack of sun also blocked bindweed
3) planted watermelon and weeded until the watermelon blocked sun to all the soil.
so far the bindweed is not bad. The main thing was reducing the battlefield size by "paving" inexpensively with the red fine dust/gravel.
but any extended neglect of yard could reverse things!!! I know those 20 or 50 year old roots are down there...
on guard!