Dried soft herbs make baby Jesus cry. Please don't do it!
That's certainly true for some of them - coriander, air-dried (versus freeze-dried) basil or chives, dill, and tarragon, among others - but others, like oregano and marjoram actually benefit from it imnsho, while others, like sage, thyme, the savories, rosemary (to a lesser extent), and the mints, among others, are good, or at worst, "completely satisfactory" (and even parsley is OK), though they do all taste slightly different than fresh...
As to home-drying them, though, I'm not sure it's worth it for most of them. Most of what you can buy, even the cheaper "supermarket" or "ethnic" brands which imx are usually as good as the much more expensive "big-name" brands, come from areas/regions better suited to them than the average home garden, and since all dried herbs die relatively quick deaths on a shelf at room temperature (especially if exposed to light), I'm really not sure it's worth the bother of growing extra and the time it takes to dry and process them... Growing-your-own is much cheaper than buying fresh herbs, at least those other than commodity stuff one uses in very large amounts like coriander and parsley, but for dried? I wouldn't bother except for unusual ones you can't find in stores, or to save whatever's still in the ground as frost approaches...