You can stroll up to Station Road (Burry Port's 'High Street') and call in the Co-op for a few provisions and a newspaper, and then pop into Jenkins the bakers (next door but one) and buy a loaf - I can recommend the pasties and (if there are any left) a fruit bakestone!
In between the two is Mr Jones the butcher, and you might want to buy something for the barbecue. [You may have heard that the Welsh can sing - Mr Jones' son (John Owen-Jones) is the current Phantom in Phantom of the Opera.]
Then a gentle stroll back to the cottage, and choose one of the three bridges that cross the railway line - I like the 'Hornby Dublo' one on the platform itself.
After a cuppa and a slice of bakestone (with butter and jam), hopefully sitting in the courtyard garden (which can be a real suntrap), it could be nice to amble down to the harbour and see if the tide is in.