Yay! My first flat tire! woohoo

Oh well...guess I won't be riding until I get it fixed.
Never bothered with tires other than buying em and having someplace slap em on the rims for me for the car (or patching up the tires on my mtn bike). Can I, as long as the tire isn't damaged, simply change the inner tube? The rear tire went out on me. Since the tires have tubes I don't have to worry about a tire "bead" right? As long as the surface of the tire isn't damaged such that it might affect the inner tube I'm fine to change it myself right?