The rear is very easy. Just jack the rear of the car up, support it with jackstands, and the sway bar bolts right to the lower control arms. It's impossible to install backwards- the bend in the bar points down to clear your diff. You should use either factory bolts and u-nuts or get good Grade 8 stuff from the home improvement center.
The front is a little tougher. You have to remove both front wheels, disconnect the sway bar end links (that attach it to the lower control arms), and unbolt the mounting blocks on the frame. There are some splash shields that will have to be moved, too (they're just installed with plastic push-fasteners). Just work the old bar out the side, and work the new one in the same way. The new sway bar should come with the proper rubber bushings, so just mount it using your existing straps. Be sure to grease the rubber bushings well to prevent squeaks.
It's a goof-proof job that can be done in about an hour with normal tools. There is nothing under tension, and it's tough to damage anything or put it on wrong. It's worth doing!