I grew up in Watts as well. Whether you choose to move or stay you can still make an impact.
What type of change do you want to make is my question? When I lived in L.A., I volunteered with Black organizations in an attempt to make change. Don't know how much change was made but all you can do is try no matter where you live.
Personally, I had much more peace not hearing the helicopters and gunshots before going to sleep. Being able to walk down the streets without fear was nice.
Living in Watts is no joke. There are places that aren't too bad but some areas are dangerous and you must consider the danger not only to yourself, but to any children you may have.