Sentence examples for all kinds from inspiring English sources

The phrase 'all kinds' is correct and usable in written English.
It is often used to refer to a wide variety of things or types of things, often when introducing a list of examples or when clarifying that many different kinds of something are included. For example: "At the store, I saw all kinds of fruits and vegetables—kiwis, strawberries, apples, squash, potatoes, and more."