Play whatever you think looks the coolest. There's no wrong choice. It'll take a hundred hours or more before you've gotten a whole set for your max level character, and you'll be earning paragon points while farming that set, so you'll be improving the base stats of your inevitable next character.
What IS important, though, is this:
Enable Advanced Tooltips. Now, you can see exactly what kind of damage bonuses you get from each skill, and more item information.
Enable Elective Mode. With this, you can combine any variety of skills you want, not just one skill from each category. Barbarian is one of my favorite classes because I use Leap and Furious Chrage (with cooldown reduction rune) to continuously move around without having to wait for cooldowns. Normally, you'd have to choose between those two skills, but with Elective Mode, I use them both.
