I love no dig because I'm very lazy
and also probably dyspraxic - hand tools are fine but I'm cackhanded as fuck with a spade or big garden fork. It does have its limits though, some weeds really do need to be dug out (though I prefer to just do the minimal amount of digging needed to loosen that plant's roots only) and with some soils you do really need to dig for some uses like root veg unless you can afford / have access to enough compost etc to be growing just in what you've piled up on top. Rather than leaving weeds be I'll hoe those off and sow cover crops instead - lamb's lettuce is one I like as it's fine through winter and picked fresh it's completely different to the weird-textured shit you get in supermarkets.
When you say traditional compost bins do you mean the plastic dalek type or wooden bays or what
Leafster? Do you add garrotta to the not-hotbins? What are you putting in them, kitchen waste as well as garden?