I would call your house a rancher.

I would skip the shutters and instead dress up the areas around and below the window. Taller plants, plants in tall planters, some decorative pieces of something on one or both sides of the window.

You could do a large window box under the window with trailing vines, but window boxes can be a PITA to keep looking nice, and you have the potential for water damage behind the box. I think there are better ways to get that effect without the box.

You could draw the eye away from the window by putting something magnificent in the porch area. Or softly light up the porch in the evenings.

I would skip the shutters and instead (add drip irrigation and) flowering plants plants on trellises on both sides of the large window.

I would do a little research as to what types of plants attract birds and butterflies in your area.