
The easiest way to acquire empty soul gems, is to travel to the College of Winterhold, and buy every empty Petty or Lesser soul gem that the vendors there have to offer. You will find numerous soul gems, both empty and full, during your travels in Skyrim, but searching for them can take a long time.
Gathering Souls – Once you have all your means of collecting souls, you must then gather as many soul gems as you can to store them in. If you chose to go this route, make sure you enchant the weapon with only a 1 second cast time, as this will provide the maximum number of charges, and it is really all you need. This will allow you to be able to put the enchantment on any weapon you want in the future. Enchanted Weapon with Soul Trap – If you chose to find a weapon with Soul Trap, bring it to the nearest Arcane Enchanter and disenchant it. You can either search the map of Skyrim high and low until you come across a weapon that is capable of capturing souls, or you can level up your Conjuration skill while putting the perk points into the branch of the tree for conjured weapons, until you reach the spot that allows them to capture souls.
While their is a spell called “ Soul Trap” in the Conjuration school of magic, it is not the most efficient way to gather the souls that are needed to level your enchanting skill, as it requires you to be within melee range to successfully cast the spell on an enemy, and then use another spell or weapon to kill the enemy before the affect expires. Acquiring soul gems can be a pain early in the game, but once you get the proper materials it becomes very simple to do.
Acquiring Soul Gems – Soul gems are crucial to leveling enchanting, as they are used to both create enchanted objects, and recharge weapons that have had an enchantment placed on them.