Orcs are pretty much the best warrior race IMO. Boosts to all warrior skills except archery (the +10 to heavy armor makes getting to level 70 easier), a boost in enchanting if you plan to use that, and while they have no passive abilities, their racial power, berserker rage, is very useful at all levels and is extremely powerful. This means that you can pretty much choose whatever fighting style you want as far as melee weapons. Hell you might even be able to do both 1 and 2-handed. Orcs are not better or worse with swords, axes or maces/hammers, so again, choose whatever you like. One thing to consider here is attack speed versus stagger ability. Regular swords are pretty spotty as far as staggering enemies. War axes are noticably better, and Maces will do it pretty regularly. Two handers in general will almost always stagger an enemy with a power attack, with the warhammer almost being a guarentee.
Personally, i like my current "Grunt" build: Heavy armor, smithing, block (with shield), one handed (war axe), and lockpicking (sort of simulates the pillage ability from Warcraft 3).