Nope. All 1 handed weapons are same, beside their damage range
axe: lowest min damage, highest max damage
sword: modest min damage, modest max damage
hammer: highest min damage, lowest max damage
You can try compare all 3 types of similar level to find it out. I myself prefer swords, as it has better skin.
Actually 10 damage is not a lot as stats on weapon. If you lucky you can find weapon which add 30+ to 40 damage, which can last you for quite a long time before getting your hands on baal's drop.
