Same procedure, ask your accomodation (Hotel, rented room landlord) for the copy of the TM30 and take that to immigration with passport copies and 2 actual photos, fill out the TM47 form there with the purpose.
If you are on visa exemption or tourist visa, be aware that you will not be able to open a bank account. But you will be able to get a drivers licence
They don‘t staple the Certificate of Residency in your passport, what you meant was obvously the TM30. (and/or 90 days report). And I just wanted to correct it, as the OP asked about CoR and not TM30. Just to avoid misunderstandings ok?
Not one of my friends coming to visit me had any issues, they come to Thailand 3 times a year for 3 weeks holiday, thats legit and if they do grill someone at the immigration its mostly for good reasons. 😉
If you are on a tourist visa or visa exempt you will not be able to open a bank account not even in Bangkok, just be aware of that. But if you have longstay visa and meet the requirements you can open a bank account at any bank at any branch even in Jomtien.