You would need radar to avoid collisions with space objects and that would require inventing something tbat travels faster than you.
Not gonna happen...
Like radar radiation itself? Avoiding space obstacles is definitely a problem, but radar will spot a lot of stuff that can then be avoided. A strong artificial magnetic field around the ship will deflect charged particles, just as Earth's magnetic field deflects the solar wind and cosmic rays.
Space is very, very empty even in the solar system. Interstellar space is far emptier. If I were inclined to go on such a trip I would be happy to launch tomorrow without a second thought. Average daily life on earth carries hugely bigger risks than the infinitesimal chance of a collision in deep space.