You have to remove the driver side axle and center halfshaft to get the alternator out. It is best to just raise the front left corner, that way you won't have to drain the transmission when you pull the halfshaft out of the differential. It's fairly simple, really. The hardest part is probably getting the lower balljoint out of the LCA... just use the scissor jack to carefully press up on the brake rotor, which should lift the spindle and balljoint out of the LCA.

I found a website called Alternator Starter Express that has remanufactured alternators for about $130 (for a 94 Integra anyway) and they come w/ 3-year warranty.