Depends. What do you prefer to fight with? What do you want your flavor to be for your character? I can't give a straight answer to such an open ended question.
Building a good axe rep is a lot harder than building a good sword rep. That being said, there's some cool looking latex axes if you're willing to drop the money on them. Everyone uses a sword, so axe is pretty cool and different. Depending on your game you might have a hard time finding a magical axe, or people may have one laying around since not a ton of people uses axes.
axe fighting is much different than sword fighting, IRL.
Here, it is sort of a handicap. For my characters, I prefer the different weapon (axe or spear) vs. the standard (sword).