An interstellar ship is indistinguishable from a generational colony ship because there's no way to realistically travel between stars in timelines that don't span generations unless we extend human lifetimes to centuries or longer. That's possible but doesn't change the trael times. It just means you live to the destination rather than your descedants do.
And let's aside the serious ethical issue of you choosing to board such a ship vs the offspring you have who definitely did not consent, some of whom may not even make it to the destination.
So a generational colony ship looks a lot like an O'Neil Cylinder [1]. It can spin to create 1g gravity and support enough people to make it to the destination.
The issue is energy. An orbital can support itself with solar power when around a star and doesn't need a form of propulsion. An interstellar ship will need an alternative energy source and also have a propulsion system that can sufficiently accelerate and decelerate. The energy budget for the propulsion is so large that the life support energy budget is a rounding error.
The only realistic policy I see is solar sails. This avoids the reaction mass issue. You need to decelerate at the other end. Part of that you get from drag in the interstellar medium. You either carry reaction mass for the rest or you go ahead and use automated systems to build the solar sail equivalent on the other end to decelerate you.
[1]: https://en.wikipedia.org/wiki/O%27Neill_cylinder