You should never risk your baby's health to save money. My 7 month old baby will not eat any of the commercial baby foods available in small jars from the grocery store. He is also allergic to several foods. So far, he only seems to want to eat barley cereal. First, clean the vegetables and slice them small.
Extra fine is for the very young and a little more chunky for the older ones.
For the younger ones, push the pureed food through a strainer for good measure. Pour the puree into ice cube trays and freeze them. I have a food grinder that I use with my children and I grind the food that we are eating that night. At times I have found that keeping food separate helps too. Don't add things like butter or salt and pepper to it either.