Hi If you are taking goods out of the country yourself you should follow this guidance:
https://www.gov.uk/guidance/taking-commercial-goods-out-of-great-britain-in-your-baggage
How the customs expert declaration is made will depend on the goods value . No there are no export duties to pay but there may be import duties an VAT or similar to pay in the country of destination. You will have to declare the items and make a customs declaration.
Each country will have its own requirements so it could be that you just need to to go through the red channel or you might need to do everything before you go. You will need to check yourself for the local procedures. An GB EORI is a registration number for GB exporters or importers that re used on GB customs declarations . They can be applied for on line and usually granted quite quickly in most cases.