I would not use drapes that have grommets in this style room. Either get roll pleat drapery panels or pinch pleat tab top panels and use rods that return to the wall and are totally covered. This look is a bit more formal and suits your room.

This way no drapery hooks or rings are needed

A few random comments, take them or leave them.

• The mirror is too short for over the FP. Mount it on the wall at a higher location so it works with the sconces or replace it.
• The dining table with the leaves is very large. For day-to-day? use can it have no leaves installed?
• The rug under the dining table looks too large for the space.
• A few decorative toss pillows could help the room.

What I do not like in curtains with grommets is when people use the only one panel on a side. So curtains look skimpy. If you go for grommets then use couple curtains on each side.

I took this idea from Rebecca Robeson and it came great!

I also don't think grommets would like right in your space. I also wonder about curtains if you're leaving the little one in the corner "uncurtained" (I don't think there is space to put curtains on it anyway). Either black or gold would work in your space. Here are some poor attempts at mocking them up for you. Personally, I like the gold because it is at the same level as the gold chandelier. Make sure you get rods long enough to hang the curtains outside the windows and they are 2.5x the width of the rod length so they have enough heft not to look fake.

As Beverly noted, some pillows with color and pattern would do wonders for your room. All the upholstery is currently the same hue and value. Or add a nice throw that's not mid-tone gray.

Some visual for curtains

or

Thank you that is so helpful, I like the look. Shouldn't I go about 12" from the window (above) since I have 10 foot ceilings? What colour pillows do you recommend for the sofa to mute the greys?

I would go with rods from the overhang. The higher is the better. As for pillows pick some existing colors and from curtains.

In general, the higher you go, the taller your room feels because it draws the eye up. Not everyone likes the look of seeing space between the window and rod, though. In your case I think it looks better to have it higher.

I love grommet drapes and I usually do the rod in the same color as the brommets . BTW I really dislike drape panels that are fake they need to be full enough to close and still look good so 2.5 - 3 times the width of the rod.