I’m in my 5th year of total no dig on both my allotment & garden & I love it, it’s as if the plants are on rocket fuel most of the time. Also it is very noticeable how few weeds there are on my allotment, I do still need to hoe, but if some escape notice, they pull out so easily.
The usual advice is if the ground is weed free you don’t have to use a light blocking layer of cardboard to begin with. Then it’s a case of adding (in this country because of slugs) a layer of well rotted mulch, this can be anything, not necessarily manure, any of the other replies would be good. If you have a very weedy area that you wish to bring in to use, chop/strip the weeds as low as possible, cover with brown cardboard overlapping the edges of the boxes to exclude light & then cover with your mulch. To begin with you may need a fair bit (if the ground was weedy) but otherwise an inch or 2 is sufficient and then each year after just top it up.
Most people think you have to put 5 or 6 inches on each year but that is not true. It’s recommended just to use the same amount as you would dig in but with more benefits I’ve found.
Starting small is a great way to trial it.