Magic!
...no, really, magic. I'm one of those sick, disgusting heretics who stirs far too much fantasy into his sci-fi, so wizards, long-range teleportation, magi-tech engines, mythical elements, the power of the gods themselves... all that tasty stuff tends to be how I throw ships around at the speed of soundlight. Leave the hard stuff for the other writers, I like my science softer than a bucket of ice-cream in the Australian Summer.
As for the harder kinds of FTL travel... well, to be perfectly honest, until we have actual functioning FTL travel, it's all theoretical and/or fictional, even the hard stuff. What you're working with really depends on what kind of plot you're going for and just how 'hard' you want your science to be; and, since it's all fictional, you can even work with some of the more impossible methods by introducing something that makes them probable (i.e. a new element that provides the energy for FTL; oddly stable wormholes that allow starship travel ala. Star Trek Deep Space 9 or Farscape; cryo-pods and long-term travel with generational ships; pioneer work with space-folding tech; straight up inter-dimensional travel through alien tech and new elements; aliens did it; the list goes on and on...), still explaining them in a 'hard' way by essentially going 'while we don't have this yet, here's how it would work if we did'. So long as it works for your story and you can explain it well enough that the reader doesn't go 'hang on, that doesn't make any sense', it's all good.