This whole idea is a fun idea, from a science fiction stand-point.
There is no known way that people even have a remote chance of going to another solar system without some gigantic breakthrough in science that is not even being hinted at.
If you are looking for some kind of hope, or freedom from the limitations set on us in life, your better bet is to get into the fields of nutrition-with-a-touch-of-medicine, and longevity (anti-aging). There are a lot of nutritional things around right now that can impart a better life in old age, and maybe even extend life somewhat.
If you are able to sell yourself on the idea of science fiction, there are a lot of sci-fi books around that talk about things like settling other worlds. Why not look at them? Because the idea of really doing it is so far beyond us that it will take life-times to figure out how to do it. And we will all be dead and gone before anybody will ever come close to going to the stars.
Jupiter and its moons are in our solar system. The distance to Jupiter from Earth is constantly changing as both planets move in an elliptical orbit around the Sun. When both planets are closest to each other, the distance between them is about 590 million miles. But in the extreme point relative to the Earth Jupiter is 970 million kilometers from our planet.
In 2006, the Land left automatic interplanetary station NASA "New horizons", which in 2007 passed near Jupiter. The unit managed to do in just 13 months.
Yes indeed, but to be able to start a new world even in our solar system, travelling there would be a hard task not only because of time, but also because of supplies.
For example, if we would start a station on one of the moons of Jupiter, we would need supplies for humans living there.
That would means, we need to invent some kind of endless source of oxygen,food and water, or there is also another way- to send neccesary recourses every month or so.
The costs would be insanely huge, thats the first problem.
The second problem is that the supplies for inhabitants of this station would need to be somehow preserved, because that would take a really long time.
In my opinion, we should focus more on our planet, and improving our technologies, than looking for our place on the different planet.