...we hold that the Second Amendment right is fully applicable to the states.
On pages 25 and 26 PDF:
Our decision in Heller points unmistakably to the answer. Self-defense is a basic right... Explaining that " the need for defense of self, family, and property is most acute" in the home,ibid., we found that this right applies to handguns because they are "the most preferred firearm in the nation to 'keep' and use for protection of one's home and family,"... Thus, we concluded , citizens must be permitted " to use [handguns] for the core lawful purpose of self-defense."
Page 26 and 27 PDF:
"The right to keep and bear arms was considered no less fundamental by those who drafted and ratified the Bill of Rights."
You'll want to read this decision.