Combine all ingredients, besides the berries in a food processor (blender) and blend until smooth.
Add the berries and pulse a few times, until they are broken into small pieces.
If you'd like popsicles with smooth texture, add everything at the same time to the food processor and blend until smooth.
Pour into popsicle molds. Insert popsicle sticks. Freeze for at lest 2 hour or overnight, until set.
Dip the molds in hot water for 15-30 seconds, then take the popsicles out.
Keep in the freezer for up to one month.