Summarize this article:

If you removed your shutters earlier, pick 1 to start with, and position it against the wall. If you are using pintle hinge shutters, slide a pintle under 1 of the top hinges on your shutter. Start with the top holes in your hinge or shutter, then do the bottom holes. Once you finish the first shutter, move onto the second shutter.  For hinges, drill the screws in until they meet with the surface of the hinge. For a seamless finish on stationary shutters, drill the screws until they are about 1⁄4 inch (0.64 cm) below the surface of the shutter.  If you are using shutter fasteners on stationary shutters, lightly tap the fasteners in with a hammer or mallet. Cover the brick wall around each shutter with strips of painter's tape. Apply your desired paint or wood stain, then let it dry. Once it dries, peel the tape off.  If you screwed the stationary shutters in rather than using shutter fasteners, fill the holes in with wood putty first. Let the putty dry before painting the shutter. If you used shutter fasteners, you should paint over them so that they match the rest of the shutter. Some window shutters contain extra items, such as holdbacks. Once you have the shutters installed, you can add these extras. Remember to mark the pilot holes with pencil first, and to drill the holes into the brick with a hammer drill and masonry bit. You can add these accessories to stationary shutters too, but they are not necessary.

Summary:
Replace the shutters or pintles against the wall. Insert the screws or shutter fasteners. Paint or stain stationary shutters, if desired. Add other accessories for hinged shutters, if needed.