If you decided to travel to the furthest galaxies you could reach, at some point even they will move beyond the reach of Earth as space expands. To colonize them means to exile yourself from Earth permanently.
Traveling through an infinitely expanding universe is like traveling into a permanent headwind in every direction.
Both. Even our galaxy is held together by gravity that's stronger than the expansion of space on that scale.
According to this image: https://bigthink.com/wp-content/uploads/2021/10/In-enough-Ti...
When you stand next to somebody and you look at this person, through the expansion of the universe and the amount of time the light needs to travel from the surface of that person, to your eyes; means that when you see this person in the original distance, you do not see that person at the actual distance. It's not possible to share a contemporary timeline with other persons, everything is a few nano seconds delayed, you are existing in everybody else's past.
Of course practically this doesn't matter.