Fascinating thread. I'm an old gimmer and try to be green, though I've used glyphosate in the past and I wouldn't use anything else.
For people struggling, I'd go for a multi-pronged approach.
Hack stuff down as much as you can. For very overgrown gardens a strimmer - literally - won't cut it
Look into brushcutters to help cut stuff right down. Then use old carpet etc to cover some areas whilst you work through the rest. I've never used a weeding wand/flamethrower as ^^, but they're well-recommended, certainly for paved areas, so would probably be good for gravel paths too.
If you've spotted plants you'd like to keep, dig them up and pot them temporarily while you do the clearing, you can replant them later.
Now, focus. Map out an area of just a square yard (I measure in old money
It doesn't have to be square in shape, iyswim, but just a small area. Focus on it - forget the rest of the garden. Clear that square yard as thoroughly as you can. That's ONE square yard. Move onto the next square yard. Ditto. That's TWO square yards. Repeat as necessary
IIRC, it's a tip from the luffly Monty Don and I found it hugely helpful. Keep going as steadily and thoroughly as you can and you will get on top of the weeds eventually. In neglected gardens, there'll be a lot of weed seed and roots accumulated in the ground and ready to grow as you clear the vigorous stuff, so you might have to go over the ground a couple of times, but it really will pay dividends and the weeds will decrease as you progress.
Completely agree about Geoff Hamilton - look for his Practical Gardening Course - very comprehensive and readable.
For slugs and snails - much sympathy, their depredations can be heart-breaking, they really can. Look up nematodes - no chemical nasties, completely biological control and very effective.
Much good luck!