You might want to find some places to shop for groceries.  Here are some suggestions within a few minutes drive from the property.  They are the places we use for our own needs

COOP la petite Corniche is convenient.  check opening hours for MO-SA (Sunday closed) locate

SPAR on the highway is convenient but choice is limited.  open every day locate . You access the shop by parking on the "route des monts de Lavaux" and traversing the highway on the little pedestrian bridge

Epicerie de La Croix is very convenient since open every day.  Good bread.  Quite expensive locate

Moutarlier is a high end bakery in Chexbres (there is also one in Lutry village).  Excellent quality and open every day  locate