Where should I file my EAD renewal application - moved to another state

You can apply in any office. Check the processing dates in the local office and CA service centre. I would suggest to apply, wherever the processing is fast...
 
You still have to apply at CSC because that's where your 485 is pending. We moved from CA to IL and our lawyer sent our renewals to CSC and they were approved by CSC. In case your case has transferred to a local office, then I think you send them to the local office..but I am not sure though.
 
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