Mix frozen bananas, pinch of salt and avocado in food processor until smooth (separating any frozen banana clumps that form).
Add berries 1/2 cup at a time. Blend until smooth. If you like big strawberry pieces in your ice cream, blend everything until smooth and add the last ½ cup of strawberries afterwards. Pulse until desired consistency.
The ice cream is at its best when eaten immediately, but can be frozen for later. Enjoy!