You'll find lots of opinions on these two different steps. One thing I believe is almost universal is the need of a cool, dark area w/a little breeze, or circulation. Also, I think most folks hang their buds for 5-7 days before moving on to curing them. There's this certain dry "feel" all successful harvesters come to recognize.
You'll also find two schools of thought regarding the bud stems "snapping" . . . I grab mine for cure before they get that dry. Many don't. I probably should mention that I've all the time in the world, so mold is not a concern to me. (knock wood!)