black bears normally just ignore you and want to be left alone. Lots of them live right in anchorage and get along just fine with people even when they have cubs. As long as youre not leaving the lower 48 you have no worries. Just carry a can of pepper spray if youre concerned. Theres never a good reason to shoot a bear, and I can tell you that pepper spray will disable any threat you will come across much better than a bullet.