10% of the speed of light is going to require a massive amount of energy to achieve. Also consider the navigation system you would need to have, going some 18,600 miles per second means that one would need a very long amount of time to avoid an object that is on a collision course as the inertia of an object moving that fast would require huge sums of energy to change direction. Lets also not forgot that it would also take a very long time to slow down to achieve orbit around the star.
Maybe use an adjustable "solar sail" set to a broad reach?