if i install security cameras in my house will the homeowners insurance price go down a bit?

Probably not, since security cameras are not going to prevent a break-in and the losses incurred from same. They will make it easier to possibly identity and apprehend the crooks, but the damages will still remain. You would make a better investment if you installed a security alarm system, plus other barriers to unwanted entrance, such as better door frames and grates over your windows.