Spider in the house

I'm not one of those people who scream and grab a broom when they see a spider. While I certainly don't want them crawling on me, when it comes to harmless spiders, I have a mostly live and let live policy. There are exception, of course. I kill poisonous spiders and any that are so big they intimidate me. I try to keep the house relatively spider-free, because they freak my grandson out. But a few little spiders, like this unknown spider that has been hanging around the kitchen for the past few days, are safe.

I'm not sure what kind of spider this is, but he's fascinating. He's tiny, moves quickly and can jump effortlessly. But what's most interesting are his eyes. They are two tiny orbs elevated above his face and they are constantly moving. They go in circles (rotating 360 degrees) as if he's scanning his surroundings at all times. He must be accustomed to seeing me by now, because he let me get close enough to take this photo of him hugging the side of our kitchen island/worktop bar.