West Oakland Babysitting Coop?

I'm super jealous of all the buzz about babysitting co-ops in other neighborhoods and would love to find or maybe create one in West Oakland. We're a queer couple with a 2yr old, hoping to have a second babe soonish, living on the Lower Bottoms for 15yrs, and I'm totally over paying $20+/hr for someone to sit on our couch while our baby sleeps. Pls, I love the idea of making some new parent friends in our hood.

Any parents out there know of any existing groups in West Oakland, or a surrounding area (Emeryville, Downtown or Uptown Oakland, etc.)? I've scoured this site, seen some great suggestions for other neighborhoods, books to read, etc. and have taken notes but am really hoping there is something near us. Or, if others want to start it, please reach out! I would also love to talk directly with some folks who have done this - a co-op mentor perhaps? I can pay you back in coffee, baked goods or some other trade. I work full-time and am a little freaked out about doing on my own but we really need this resource; our friends have been amazing, but with no family around, we do not get out together nearly enough. 

Thank you!