I loved playing dual wield 1-handers but once I started hitting mid-Nightmare it just wan't working anymore. 2hander is fun and it's great watching enemies fly across the screen but same survivability problems as dual wield. 1h and shield is alright and much more playable in higher difficulties.
You can't really compare dude. I found a rare 2H axe the other night that has pretty high DPS but more importantly: +231 sta +118 str and the damage buff is just raw damage not elemental. It has 1.5% chance to stun which procs often with frenzy. I've found decent 1H and shields and tried them but I haven't see a difference in the damage I receive vs the large DPS drop with the axe I mentioned. I'm sure you will be swapping between weapons a lot. The barbarian is the most gear dependent class, you will probably try everything throughout your first play through in inferno act 1.