Welcome, citizen Clangador! Before you run PARANOIA, it is prudent to ensure everyone in your group is on approximately the same wavelength regarding the tone you desire. Or, if they are all first-timers new to the setting, you should expect either (A) initial reluctance by the players to plot against one another, in which case you must play up their conflicting secret society missions and otherwise sow dissension, or (B) initial Zap-style exuberance as they gleefully shoot each other in the back.
You'll find many helpful resources and useful discussions on the leading PARANOIA fan site, Paranoia-Live.net (www.paranoia-live.net). Over 1,000 loyal citizens are registered, and the congenial atmosphere is entirely unlike that of Alpha Complex. Hope to see you there!