The Registrar will issue you with a green form (called a 9W) to give to the Funeral Director (in some cases this will have been issued by the coroner) which gives permission for burial or cremation.
You will also be given a white form (called a BD8), this is for pension and social security purposes only. You will need to complete and send this form either to the Swansea Pensions Centre or you local Job Centre, Job Centre plus or social security office. The registrar will advise where the form should be sent and provide a business return envelope for your use. Both forms a free of charge.
You will also be able to purchase for a fee, a standard death certificate. These are certified copies of the entry in the Register, which you will need to deal with the estate of the deceased. There are purposes for which a certificate may be required. These can be paid for by cash, cheque or postal order but not debit / credit card.