I would suggest using a sanitizer on the bottles and you would be well off to use a "no-rinse" one rather than bleach which does require a rinse. I use Star-san and iodophor. I like the iodophor because it doesn't foam, so I use it on the bottles, but I use star-san for everything else. You want to soak the bottles in the sanitizer of choice for 3-30 min depending on which sanitizer you use and then drain them. Using bleach will require a rinse, but not if you use the others. I justy got a bottle injector sprayer. It is a neat gizmo but a 5 gal bucket works great too. I also got a bottle tree and I do like that thing a lot.
Once you sanitize the bottles you don't want to risk of contaminating them again with rinse water so the use of no rinse is preferred.