Re: Bernal Sphere, O'Neill Cylinder, Turing Craft..
"The fact the last half-dozen to dozen generations of my forebearers lived in this "inhabsat" {NB: my own word, but free for anyone's use}, and we've been moving deeper and deeper into the Oort Cloud for all/most of that time (ever since my great-great-great-...-grandparents (and their contemporaries that founded this inhabsat) split off from a bunch of stay-at-homes that wanted to stay in the Kuiper Belt). I mean, what's a star but a gravitational "reference point"? That being so, what difference is it which is used?"
"What, some of my great-great-great-...-grandchildren may split off and move inwards to [destination star's] Kuiper Belt. Well, hell, so what? There's always more room; more resources (esp. for volitiles) if you're willing to push your inhabsat in the right direction."
Seriously: in a universe where relativity cannot be "gotten around" I don't see any way that Earth (or a consortium of "major planets") will be the ones to go to other stars. It would be, I am convinced, some of those whose inhabitations are already so far from Sol that it wouldn't require much to just drift off to another star. If their descendants even bother to moving in "close to" the star, it will be a few generations later.
Frankly, given reliable, efficient fusion power, and the large amounts of volitiles available in the Oort Cloud and Kuiper Belt, there's bloody little the near vicinity of a star has to offer.