Add water and fresh berries (or dried berries) to a large, heavy-bottomed pot. Bring to a boil.
Simmer for 15 minutes.
Strain liquid through a fine-mesh strainer, removing berries and add-ins. At this point, you can mash the berries a bit to release all their liquid.
Continue simmering until the liquid is reduced by half.
Remove from heat and allow liquid to cool to just above room temperature. You want to be able to touch is comfortably with your finger (or, if using a thermometer, about 110 degrees F or less).
Add honey and lemon juice, stir until honey is dissolved.
Ladle into your jars, label and put on a tight-fitting lid. Store in the refrigerator up to 2 months.