Making my way through the fort at Helgen, crushing skulls with bare hands, I encountered my first two-handed weapon: an iron greatsword. With bruised knuckles and a firm grip, I took up the rusted blade amidst battle, swung mightily at a villainous Stormcloak, and smote him down to the dirt from whence he came. With the twang of the blade still resonating loudly from the blow to his temple, I engaged another Stormcloak, this time with the bloodlust of a maniac.
Forget their slow, encumbering nature. Forget the vulnerability you feel. The gods gave you two hands. Use them both for your weapon.