Mouthwash is a supplement to brushing, not a substitute for it, and which one you want depends on what you are treating.
Fluoride rinses strengthen enamel and reduce decay. Antiseptic rinses with chlorhexidine or CPC target gum inflammation and are usually meant for short courses rather than indefinite daily use. Alcohol-free formulas suit dry mouth and sensitive tissue, which covers most people in a hot, air-conditioned environment.
Use it at a different time from brushing. Rinsing straight after washes away the concentrated fluoride the toothpaste just left behind.