Go to an enchanting stand and enchant the necklace, rings, and armor with a Chameleon spell using the Grand Soul Gems. Go to the Chironasium (enchanting section) in Arcane University.
This trick requires access to Arcane University, a Chameleon spell, two rings, a necklace/amulet, any two pieces of armor (preferably a helmet and shield you could use any armor for this, but you may want to enchant them with defensive magic later), five Grand Soul Gems with Grand Souls in them, and 8,000 gold.