For your first time, I recommend leaning very heavily on their secret society missions. Make the society missions directly contradictory, and make sure each player understands he will enjoy enormous rewards for fulfilling his society's goals -- and experience great punishments for failure.
Have the briefing officer, and multiple NPCs the Troubleshooters encounter during the mission, drop a few interesting phrases, or make a few odd gestures, that each player can interpret as possible recognition signals. Security cameras turn mysteriously toward certain PCs and away from others. Make sure every player understands his progress is being monitored.
Have an NPC passerby slip a note into a character's pocket, notifying him of a specific upcoming opportunity, with place and time, that the society has set up to take out a rival PC, whom they have just learned belongs to an enemy society. "And we'll be watching!" Then do the same for two other players who have contradictory missions; specify the exact same time and place. Then, when the players arrive, have the lights mysteriously turn off.
They can probably take it from there.