Jazz guys: Bebop, Hard Bop etc.

I've been seriously into Jazz since I seriously became interested in high end gear (about 4 years). I listen primarily to jazz and primarily to Miles, Monk, Coltrane, and Rollins. I have many of the classic discs by these guys as well as some discs by Hank Mobley, Joe Henderson, Herbie Hancock, Gene Ammons, and Wayne Shorter. I have discs by Clifford Jordan, Andrew Hill, Dexter Gordon and Eric Dolphy. I think of these guys primarily as hard bop players. I also now that their playing spanned the genres of bebop, hard bop, and post bop. But as a jazz novice, I wonder, do the jazz classics by these artists generally fall into the hard bop genre or a combination of these other genres? Thanks for your insights.