I really feel better when I have done both with woolens, dry cleaning and freezing.
If you see any moth damage at all, following cleaning, more damage may be revealed, as I believe the saliva (again, gross, apologies) holds fibers together, and cleaning dissolves it, and the true picture of damage then emerges.
I want to know the complete condition picture, before I sell my items, and as well, I want no invasion of my collection.
If you haven't room in the freezer, at least have the dry cleaning done, straight away.
As Nicole mentioned, moths are very fond of cashmere.