http://pluto.jhuapl.edu/mission/mission_timeline.php gives the timeline of the New Horizons probe currently on its way to Pluto .
In annex the amazing , but not spectacular , animation of NH voyage trough the solar system from the viewpoint of Pluto , looking down at the sun.
NH is the white dot in the beginning leaving the planet Earth ( white orbit ) , which gets a gravity assist from Jupiter ( the red dot originally at the left ) .
One can see NH approach Pluto . For an observer on Pluto there's amazingly no indication the probe is heading towards Pluto until the end of the animation where NH makes a dive under Pluto .
Initial conditions were taken from the JPL ephemeris on 01/01/2009 , ie after the gravity assist with Jupiter .
I think the people of JPL made an incredibly good precision job because I get a close encounter with Pluto at 14/07/2009 , precise on time at a distance of only 80.000 km , whereas the flight shedule predicts an approach on the same date at 10.000 km .
So only a small upwards burn may be needed to be right on schedule .
Animation can be downloaded to view on full screen .