Buying a cheap food processor that still gives you the features you need isn’t that difficult. You can find a cheap food processor by reading reviews about the best food processors and comparing those you're interested in to the features that all food processors should have.
All the best food processors chop, slice, shred, and puree foods, but some also do more specialized tasks like whip, knead dough, make juice, and have special cutting tools for things like making French fries.
They hold different amounts of food, usually from 4-12 cups. You can get a mini-food processor if you don’t need to mix up large amounts of food or you don’t have very much space on your kitchen counter.
Even a cheap food processor has at least one speed on it. Some have several speeds, but as long as the processor has a pulse setting, you are good to go. Another thing to look at is the shape of the hole where you put the food. Some are long and narrow, which is better for things like strips of food, while others are fat and wide, which allows bigger pieces to be fed into it.