Just remove them…the beautiful architecture of the ceiling/beams/windows does not need any window treatments.

Remove the drapes 100%. At that point if you want more updating ideas take a photo from further back showing the whole space. The Williamsburg chandelier for instance could go while you have a ladder in the room…

nothing, seems they dont really do much now so why not just let the windows shine?

as a side note replace that Williamsburg chandelier, it would be an instant update.

As others have said, remove drapes and do not have window treatments on those windows.

And no plants on top of an armoire or TV cabinet. Leave the top empty.

It would be helpful to see more of the room if you want additional updating advice. I am not too sure about that floor lamp but maybe it is good with the rest of the room.

Hope that’s not a pipe organ on the right.

Check the basement for signs of new walls or flooring