So, I know that the universe is expanding, and that that means that things are generally getting further apart as time goes on. What I'm having difficulty with, however, is figuring out just how much this might affect things like interstellar travel.
The 'world' I'm building is essentially a series of colonies on planets in star systems no more than 1 thousand light years apart, in the same galaxy. I plan on having FTL where a journey of that length would take about 60 days (assume some sort of Alcubierre drive, or if that complicates things too much, assume the same distance travelled at sublight speeds).
What I'm wondering is if someone were to start one of these 1000-light-year journeys, would the destination drift away from them at a measurable/meaningful way? If a shipping company continuously sends ships on this journey for a few centuries, would this effect become more important then? If numbers can be found for the change in distance over time, I would love to know them. Alternately, if the galaxy has enough gravity or other forces affecting its stars to nullify the universe's expansion, then evidence of that would also be sufficient.