There is a paper that suggests we could, in theory, direct the sun itself towards something while we continued to live as we normally do with little to no change in our lives until we arrived at our destination. This does not effectively cost as much, but it will take a lot of time.
At those time scales though, the whole world's population would not only have forgotten, but probably gone extinct and re-evolved multiple times over. Humans have only been a thing for a few million years, if that.
https://www.sciencedirect.com/science/article/abs/pii/S00945...