In the past I've usually just stuck with one weapon class (but usually raise at least two) but now I've decided to use a variety of weapon types that I think would make sense for the various enemies. So rather than just use one-handed swords all the time, I save them for anything that is lightly or not armored at all (light armor warriors, aggressive wildlife/creatures and Draugr because Ancient Nord Armor leaves a lot of flesh exposed for one-handed sword strikes). I've taken to using battleaxes against the bigs like dragons, mammoths and giants (and maybe Giant Frostbite Spiders). Finally I reserve warhammers for anything armoured (heavy armor warriors/Falmer and constructs), using as many power attacks as possible since that kind of force would be necessary.