I like to buy food at my grocery store. It makes shopping easy.
Well they  primarily sell food.
I like to find fresh fruits and vegetables there as well. Also, the deli has great meats.
Well  Grocery stores often offer non-perishable food that is packaged in bottles, boxes, and cans
Yeah those are great for when we need food that will last on a shelf. No refrigeration required.
I have heard Small grocery stores that mainly sell fruits and vegetables are known as greengrocers 
That sounds like a good idea. I would like to visit one some time.
such as gas stations, which will often operate under the store's name.
Some groceries specialize in the foods of a certain nationality or culture, such as Chinese, Italian, Middle-Eastern, or Polish. These stores are known as ethnic markets and may also serve as gathering places for immigrants. In many cases, the wide range of products carried by larger supermarkets has reduced the need for such specialty stores. The variety and availability of food is no longer restricted by the diversity of locally grown food or the
Grocery store
A grocery store or grocer's shop is a retail shop that primarily sells food. A grocer is a bulk seller of food.
Grocery stores also offer non-perishable foods that are packaged in bottles, boxes, and cans; some also have bakeries, butchers, delis, and fresh produce. Large grocery stores that stock significant amounts of non-food products, such as clothing and household items, are called supermarkets. Some large supermarkets also include a pharmacy, and customer service, redemption, and