The gravitational force exerted on you by the Earth is:
Fe = Gmemyou/r2e
The force exerted on you by Jupiter similarly is:
Fjupiter = Gmjupitermyou/dist2jupiter
The relative force of the two is: Fe/Fj = me/mj * dist2/r2e
At nearest approach, Jupiter is 600 million Km, and the center of the earth is 6300 Km away. Jupiter's mass is about 320 earth masses. Plug it in and find that:
Fe/Fj = 2.9 x 107
That is, the gravitational attraction exerted by the Earth on you is 29 million times greater than Jupiter's.
You could put a whole 'nother Jupiter right behind the real Jupiter at its closest approach to Earth, and it would keep you "floating in the air" around 1/10,000,000th of a second longer than one Jupiter does. The effect of tiny, far more distant Pluto is unlikely to have an additional effect that can even be measured within the Uncertainty Principle.
This, incidentally, tells you why astrology is crap. The gravitational attraction of a fat obstetrician exerts more of an influence on you the instant you're born than the largest planet in the solar system.
Pluto being so far away is like using a mutiplier. Ever use one of those little ratchet tools that is geared to be a multiplier? Same principle I’m pretty sure.... :)