I used to have an old fashioned flame weeded, using paraffin which worked really well on big areas but it scared the heck out of me a d I worried I might get burned and being on my own that would have been hard.
Hiri Hiri, great tool, also a thing that grabs deep roots and pulls them out also a hand tool. I nearly got on top of some huge rooted dicks this year, actually cutting off bits of the root that I couldn't dig down far enough to remove, and that has been good, the remaining bit I keep hacking at, remember the old rhyme, cut them in May, back the next day, cut them in June, they'll be back again soon, cut in July, they'll be sure to die. But I'm hoping that the work done on the tops through April may and June will help exhaust the root!
Also dug many buckets full of bindweed roots, you'd not believe how much, but still some came up. I have put some finely targeted roundup on some of the leaves, o ly time I'd use it just to try and get on top of it. Hirsetail however is almost uneradicatable. So I wait until maybe July and just pull it up then