Mary, the way I would do it is first wash the shutters with dishwashing detergent to get off anything left over from being outside and the oil from your hands, then spray on a coat of primer from the auto parts store or the auto department of the "buy everything here" store. Then lightly sand with about 400 grit paper dry followed by a vacuum and then tack cloth to get off any dust. At that point, choice of paint is up to you for color, shine, etc. You can use exterior latex enamel, spray exterior enamel, exterior polyurathanes, etc. The lack of runs and drips is up to you. I have a lot of problem with this using the spray polys but others manage pretty well. The enamel spray cans are pretty easy to use but color/sheen choices may be limited. You can even put on a coat or two of the right color followed by a clear coat to get the right sheen. You can "flatten" any open can paint by adding talcum powder-cheap-from the drug store.