I have not really ever bothered to investigate star types. Yes, I'm lazy. Which types of stars would be suitable for humans to live in their systems? Given that with improving technologies we might live well inside or outside one AU, in many sorts of habitats, which stars are good ones, not too hot and not too cold, not too violent, et cetera?
Any star on its main sequence will do. More massive stars leave the main sequence faster, so a good moderate mass star is best. Any star will have a "water band," a range of distances, in which liquid water is possible. You just have to make sure your planet is in that band. - Warren
Isn't our sun rather quiet, comparatively speaking? Not to say that life couldn't evolve with appropriate protection from higher radiation, or that we couldn't live in habitats with the same, but it's a factor. -Jaxom
For colonization to be profitable you only have to worry about the short term (ie: 100,000 years or so). If the star is hotter settle farther out. If cooler be closer in.