This is the kind of excellent question I miss from this sub-forum.
As I understand it, the universe is about 14 billion years old (or is it trillion). And earth is 4.5 billion years old. Assuming nothing exceeded the speed of light, that makes the universe about 28 billion light years wide at best.
Now for children, when grandpa was a child is "a long time ago", and anywhere it takes half a day to drive is "far, far away"
So I would use MorrusMath(TM) based on his advanced knowledge of StarWars Physics to compute how far the Millenium Falcon can get that either takes half day to get there or about 20-30 years.
Odds are good it is the Andromeda Galaxy.
Now, I don't want to spoil anything, but I happen to know that after the last great battle not yet televised in our galaxy, when a Commander Drehpehs sacrificed her life and chose whether to unify the Light and the Dark or to eliminate one or the other, things changed dramatically. Also, before that point in their history, they sent a special ship called the Suxen to a neighboring galaxy to start a new space station colony there, followed by a series of ark ships. Only one ark made it, and arrived to find the Suxen damaged and in disarray.