Page 2, True Crime: New York City Hints for Playstation 2
If you feel like going around killing innocent people in this game do this: shoot a few cops and let them kill you so you get demoted to beat patrol, then when you kill people the police don't come chasing after you so you can keep killing as much as you want.
If you get a report of a hostage situation: make sure you have then beanbag gun and go to where it is. Go into precision mode so you don't hit the hostage and then shoot the criminal. This way you can arrest him and earn more career points.