Keep the same or shutters

Do you like natural wood blinds?
http://houzz.com/photos/4988479

It's fine as it is; maybe a nice tall plant near the right side window but not essential if it's in the way. To me even if you have the best of views, a little greenery inside helps.This looks very much like the home we built and had to give up due to environmental problems. Terrorists! I used to have small potted plants on the window sill because our seating arrangement was different. We had wood panelling on one wall and plants used to blend well with wood. I am a plant addict.

Natural hand woven shades, if you have the budget consider using Conrad shades. Mounted inside the windows the same way you have these blinds mounted. It would bring so much warmth to the space.

Shutters would go nicely with the framing.

Shutters are beautiful and expensive. You might try white wood blinds as a less expensive option.

Woven wood inside mount shades.

Curtains will be difficult to make correctly due to the large "cap" at the top of the window.

Shutters would normally be nice, but the trimwork is so decorative between the windows that I think shutters would detract from the overall appearance (which I hate, because I am a "shutter guy" LOL).

So stick with something simple that will mount inside the window opening.

Wood blinds are available with a 2-1/2" slat size that space the slats out more and give you better "view-thru"

Roman shades, cellular shades, or something like a HunterDouglas™ Silouette shade would also be good options.