Q:

How might it be possible to move a star?

I'm imagining a super-powerful spacefaring race which has the capability to build or modify a star system or even galaxy by moving stars around, but I wonder if it's really feasible.
Is it theoretically possible to move a star intentionally and accurately from point A to point B? How might this be done? How would it affect anything near the star, orbiting and otherwise?

A:

One proposed method of moving a star is to build what is known as a Shkadov thruster. Essentially, this is a large shroud covering half of the star, which is held up by the pressure of outgoing solar radiation and the solar wind.
Reflecting the solar wind on one side of the star creates a momentum imbalance which, over millions of years, can be used to steer the star though space.

