I have to say go with the swords, Dawnbreaker is a very good weapon for a Paladin type character.
Yes! I was just going to edit my post saying that very thing.... it's probably the only "paladin-centric" weapon in the game.
It has always been blades for me. My heart is broken that there is no more shortswords. - so I modded one to look like it is.
There's a mod for a "katana-type set" which has a short-sword variant (wakizashi? not sure now which one it is....) I LOVES me my katanas, you can find the mod here: http://skyrim.nexusmods.com/downloads/file.php?id=8489
These are all craftable (at Steel, Ebony, and Daedric levels), upgradable at the grindstone, and enchantable.