I have an old hoe that was my Dad’s. It was used for so long that it got smaller and the edge is super sharp. If I use it when the weeds are tiny it works fast, just scrapes them out of the ground - like a shave job. I need to do it every couple of days but it doesn’t take long.
I have mulched the dickens out of my beds this year - put down cardboard with a thick layer of pine needles - so far so good on no weeds in my veggie beds.
As for the walkways/outer edge, my biggest issue is “wire” grass. It’s invasive & all but impossible to pull up (or hoe). The roots stay in the ground & it’s back in a flash. I do have wood chips down as mulch around the beds/walkways & most weeds, other than the wire grass, pull right up. If I can get a hot, sunny day (today was pretty good), then ACV/Epson salt/Dawn works fairly well on almost everything.