There are a lot of Supermarkets in Calis, but none near the Cemetery (we stay there too) and if you are doing a big shop I would get a taxi to, say, Kipa the biggest Supermarket and then get one back. There is a taxi rank at Kipa. Taxis are cheap.. There is also a taxi rank about 5-10 minutes walk from the Cemetery. With the Cemetery in front of you at the top of Cevdet Oskay Cadesi,. walk up the hill keep right and then left at the bottom of the hill walk along passing a very smart apartment complex next to the cemetery. This is Ibrahim Gul Cadessi. Walk on over the bridge and straight ahead. At the end of the road on the left is a taxi rank, if there is no taxi there sit and wait. There is also a phone. At this rank you will see a shop with lots of carpets out to dry, so turn left and there is a market (shop) and next to it is a very good butcher shop where you can also get hot chickens. Across the road is the Cahide Bar a good place for something to eat, nice bar and friendly staff.
There is also a small market (shop) within sight of the Cemetery it is well signposted it is called Canceg Market and the shop is very handy for bread, water and daily requirements. With the cemetery at your back walk straight ahead down(Cedvet Oskay Cadesi) the road with the Canceg Market signs. The market is at the bottom of the road on the left. It opens early in the morning and closes around 8.30-9.00pm at night.
If you are renting a Villa ask the owner to leave your a started pack of food for when you arrive.