Um. Ahaha, you see, uh, I don't really notice the swords that much. However, I'll try my best. Excuse me while I go look at Internet pictures of all the different swords I can remember. 'T'will just take a moment.
All right, so it seems to me that the choices for me are Andúril (Aragorn's, after Elrond reforges it), Sting (Bilbo's and later Frodo's), or Hadhafang (Arwen's). (Those happen to be the only three I have the inclination or precision to research.)
This is actually harder than I thought. All three of the swords are cool for different reasons…
Andúril, Flame of the West
We all love Aragorn's sword. Let's just admit it.
I like this one, but it's a bit too curved for me.
I think this one might actually be my favorite. It's a close call with Andúril, but if we're talking strictly sword-wise, I think I like this one the best.