Pam,
Hurricane season officially is 1st June until November but peak months are August to October, so september is slap bang in the middle of it, but odds are you'll get lucky and avoid them.
I'm doing Americas Heart & Soul which finishes in New Orleans and have opted for November (not sept) for that reason. I've twice before planned to go to NO and had my plans changed for Hurricanes Katrina (late august 2005) and Gustav (early sept 2008), ended up in Memphis & San Antonio instead and had a great time.
Sorry to tell you what you probably didn't want to hear.
Mick