Learn Spanish (Latin America): ¿Qué tipo de comida preparas?

You would say Preparo cualquier tipo de comida. Because tipo is a singular noun, you must use the shortened form cualquier right before it, instead of the full word cualquiera.

Why do we use Qué here instead of Cuál?

When asking "what kind" or "what type" of something, you almost always use Qué. While Cuál means "which" and is used to pick from a specific list, you must use Qué when it comes directly before a noun like tipo.

Why isn't the word for "you" (tú) included in the sentence?

In Spanish, the ending of the verb tells us exactly who is doing the action. The -as ending on preparas already means "you prepare" in an informal context, so adding tú is usually left out unless you need to emphasize it.

If I wanted to ask "What types of food do you prepare?", do I make the word comida plural?

No, you would just make the word for "types" plural: ¿Qué tipos de comida preparas?. The word comida generally stays singular here because you are asking about different categories of food as a general concept.