Do I have to renew my non-immigrant O visa and complete 90-day check-ins at the registered immigration office in Thailand?

I understand that when renewing the yearly extension of stay for a non-immigrant O visa based on retirement, you have to use the immigration office in the province you're registered with. Is that correct? Or can you do it elsewhere? Furthermore, what about 90 day check ins? Do you also have to do them in the same office under which you were registered?

And what if one were to move in the middle of their yearlong visa extension? Would you just register a new TM30 at the new office and then do your next yearly extension at the new office? Or would you have to visit the old office first?