You can disenchant gear that already has the Fortify Alchemy enchantment in order to learn such an enchanting skill and use it as you wish on headgear, necklaces, rings, and gloves. You can find pre-enchanted gear randomly at shops or in the wild, but if you wish to take chance out of the picture, accept the “Mourning Never Comes” quest (given by Astrid of the Dark Brotherhood) and complete the optional objective along with the rest of the quest to receive Muiri’s Ring. You can also get the Ring of Pure Mixtures from the Forsaken Cave as part of a quest given by Frida from Dawnstar, but if you give the ring to her, you’ll have to steal it back or loot it from her corpse in order to disenchant it.
Above: Muiri hangs out in The Hag’s Cure in Markarth
You can boost your Enchanting skill even more by drinking specific potions. This allows you to further increase the Fortify Alchemy enchantments, though the ingredients needed to make potions that increase your Enchanting skills may be harder to obtain than those used in the above “Trusty Method,” and such potions only increase the maximum effect given by a piece of gear from 25% to 29%. Remember that both your Smithing and Enchanting skills have to be maxed out to achieve such numbers, and this is no easy task.
Above: You’re sure to find plenty of Falmer in the depths of Mzinchaleft
For console players, we also recommend enchanting a Falmer’s Helmet and a Circlet and wearing both at the same time. This is an exploit. Falmers’ helmets can be found in Mzinchaleft (pictured above), just southwest of Dawnstar, or on random Falmer corpses. Doing this allows you to wear five pieces of enchanted apparel at once as opposed to the usual limit of four.