Around the city you will find a wide variety of supermarkets - the cheapest is Chedraui, with large stores all over the city.
There is also a very nice supermarket in the Narvarte area of the city. City market is slightly small and you certainly won´t be able to do a full shop there, although if you want high quality produce, a wider selection of meats, wines or cheese - city market is the place for you to shop. The bakery at city market is far better then bakeries at the other supermarkets in the city and you will also find a wider range of luxury snacks and chocolates. Give it a try !
