Nukes in Space
So first to show the enormous cost of the project according to Nasa it spends around $6000 to send something the size and weight on a Lemon into space.
Second say you get this project up there and light the touch paper, how the hell are you proposing to slow such a mass going at the speeds you need for interplanetary travel ,create an stable orbit then fire off again to the next planet of interest as each would take days?
Not only that but the maths required for such navigational feats to hop planet to planet would be astronomical bearing in mind your "road map" is made from a telescope based on a planet millions of miles from where you are.
Thirdly what are the occupants going to survive on in regard to Air and food or is this going to be a one way journey?
[Quotes from google] :
How long did it take for Voyager to get to Pluto?
Launched in 2006, New Horizons is the fastest spacecraft to ever leave Earth. It crossed the orbit of Jupiter the next year and has been traveling nearly a million miles a day—but it still took 9.5 years for the spacecraft to reach Pluto and its moons.
What speed was the speed of the New Horizon satellite
The Jupiter flyby increased New Horizons' speed by 4 km/s (14,000 km/h; 9,000 mph), accelerating the probe to a velocity of 23 km/s (83,000 km/h; 51,000 mph) relative to the Sun and shortening its voyage to Pluto by three years.
When you look at it your propulsion is only a tiny part of the problem