Don't gish gallop.
> What does it mean for a body to be "mine?"
You are your body.
> So - does water flowing down a hill have a perspective? Where is it located?
Why would it? Does it sense and produce a mind? Not that I'm aware of. You could go the pansychism route if you want though. See David Chalmers or something.
> can I say that I'm any less the water as I am my hands, even though I'm controlling the water, getting feedback from the water, subjecting the water as much to my nervous system as I am subjecting my hand itself?
According to enactivism, no. [1] In general, see embodied minds theory. [2]
1. https://en.wikipedia.org/wiki/Enactivism
2. https://en.wikipedia.org/wiki/Embodied_cognition