You could go all out and do curtains and Roman Shades, or just curtains. I agree the room needs some textiles.

Curtains for sure. You need something to soften the windows and to add some color and texture.

Thanks everyone, looks like curtains won. Now should I go with a solid or sheer color. I don't really want prints because I have a lot going on in terms of colors

Before you decide on curtains..a couple of things. All the windows should be treated the same and I think it could feel overwhelming all done with drapery. Also, the largest window behind your couch won't allow for drapery on both sides, given the proximity to the fireplace. I love your décor and the modern/warmth combination and would suggest instead to go with dark blinds, or natural toned roman blinds or roller shades.

I love your ideas! yes that's why I was afraid of curtains too for all those reasons you mentioned. Thanks Maureen

Another suggestion..stay away from valances...don't over do the windows..again when multiplied out, can feel too heavy.

I like Venetian blinds for these windows....blinds give you the option of 100% open when the slats are flat to 100% closed and anything in between. I hope that you will do the same treatment for the windows in your dining area and kitchen too. Keep the treatment you chose neutral and bring into your living room the great blue of your stove in pillows and maybe an afghan. Consider a lamp for the table on the left side of your sofa. Rooms and people always look best with lighting coming from lamps, sconces as well as overhead sources.

It looks like you have a good foot before the fireplace, which to me means you can put a curtain there. You might want to do a combination as was suggested. You have the beautiful bookcase that separates the spaces, so you can get away with a combo in the same color family.

Looking at the style of your home either Romans even relaxed romans or I'd do solar roller shades. They take on a semi modern clean look. Many opacities and colors.

Are you planning to remove the off-white sofa from the room?

The white sofa is too close to both the window and the fireplace.

Sofa arms cannot overlap.

Are you planning to replace the sofa with two lounge chairs?

A contrasting drapery would be a nice background for the sofa.