I like one hand and shield for a warrior in all rpgs cause I value defense over offense. In Skyrim you can dual wield too, so try all 3 and see which feels best for you.
Personally I don't like dual wield because I run out of stamina very quickly and then feel like I have two wet noodles in my hands. Though if you invest heavily in stamina and/or play a redguard (their racial ability lets them regen stamina quickly) it'll probably help.
I don't like the Battle Axes or Warhammers either just because of how slow they swing, they feel too clunky and I don't like the delay in pressing the trigger to swing and then having it happen. It throws off my aim.
Greatswords are pretty fun though, it doesn't feel like they take an eternity to swing and they have pretty good range. (haha, it looks pretty cool on your character's back, too)
Overall I still like the one handed weapon with shield. The shield makes for more effective blocking and even if you don't block, it's another passive piece of armor which certainly doesn't hurt. I use the greatsword when I want to feel like a badass, but I don't like the other 2 handed weapons and I don't like dual wielding.
That's just from personal experience though, go clear dungeons with your current character with different weapons and see which feels the best for you and you'll get an idea which route you want to go with a new character or even if you're existing one if you haven't wasted in perks in something you don't want to use.
For the most part, don't even get hung up on the weapon specific skills - like the bleeding damage for axe, crits for swords, or ignmore armor for hammers, none of them are very good.