The Costcutter supermarket in New Quay is ok for basic essentials. The address is Costcutter, Uplands Square, New Quay SA45 9QH
The Nisa Local about 10 minutes away, on the route to Aberaeron is better (its on the left hand side of the road as you approach from New Quay). The address is Ffos-y-ffin, Aberaeron SA46 0HA