[Flow]

But how can a civilization even start to move a star to a degree it fills a purpose?

[stcredzero]

Shkadov Thrusters

https://www.youtube.com/watch?v=_VetAm7fCS0

[def_ConGame]

That guy's channel is awesome, but his Rhotacism drives me up the wall.

https://en.wikipedia.org/wiki/Rhotacism_(speech_impediment)

[stcredzero]

I just imagine Elmer Fudd dressed like Carl Sagan.

[trhway]

Before the level of moving stars, they definitely can reach the level of being capable to jump onto a suitably identified star moving in the desired direction.