There is no California Visa Service Center. The only (official/government) visa center in the US is the National Visa Center (NVC). Visas are handled by the Department of State (DOS). USCIS is part of the Department of Homeland Security. They handle the petition.
CSC does not generally handle I-130s for an immediate relative of a US citizen. As noted, they handle family preference cases, such as those with an LPR petitioner. However, they can handle petitions from an LPR who later became a US citizen, or they may transfer it to another service center.
Either way, you said yours was approved already. So it just needs to get to NVC and get into the system there. Wait for the welcome letter.
