Hanging Shutters in brick - anchors?
This is how we attached plastic shutters to block homes at work, not sure if it will be great with brick but I don't see why not:
We drilled holes in the shutters, positioned them on the wall, marked the block where the holes were, and drilled 5/16" holes in the block with a masonry bit and a hammer drill. Put 5/16" plastic anchors in the holes, and mounted the shutters to the anchors with large head screws(looked better than regular exterior screws.) Painted the screws to match the shutters, and called it good.
Worked out well, they've stood up to the elements here for the past couple years at least. Wood shutters, you may want to use a heavier duty anchor, the plastic ones we put on didn't weigh a thing.