Unless you believe in fairy tales and santa claus, mankind will never reach them. Sure, we will settle surrounding few hundred light years, maybe a thousand in next million years, if we as mankind are extremely lucky, I talk range somewhere 1:1000 to 1:million. Other chance is show or quick death.

Beyond that, no real settling, just some probes that will take tens of millenia to come back (or send signal back).

Think about all the stuff and beauty we have now, to experience and explore it on our pale blue dot, trivially reachable considering our recent past, and all that will be almost inevitably lost to future generations. Compared to what we have here, stuff in cold hard vacuum or some illusions of beauty pale in comparison (and that comes from a guy who loves astronomy). You can experience it now, in its original form and not some crappy re-creation of good ol' days. Trust me, future generations will be wishing for many reasons to be able to live now (at least those healthy).

I don't believe we will find some magic above-c transport in Star trek style. Sure, its a nice fantasy and we would love for it being true, but thats not how reality works. Same as some beardy old dude in the clouds fantasy, having for some reason very strict bronze-age morals yet letting billions innocents suffer immeasurably without a care in the world(universe). But of course there is magical wonderland after its over here, pure magic in D&D style with alternate realities/planes/universes or whatever those folks who wrote it up thought made sense back then.