Alida, I had a similar dilemna. I wanted my sink centered on one of the windows and had to work the dishwasher in as well and really wanted it to the right of the sink. AND in addition, we wanted the group of windows to be centered on the wall on the OUTSIDE of the house. Something had to give... we had to go with a much smaller sink base than ideal and so my sink is fairly small, but it was also important to me to have a generous amount of prep space on one side of the sink or the other (my old kitchen had a medium amount of space on either side but not really enough to be effective so with the remodel it was extremely important to me to have one long stretch of counters to work (another reason for the windows and no upper cabinets... I don't like the feeling of having the cabinets overhead)). anyway, here is a pic of our situation in case it helps. and also, the 36" base cabinet sounds nice, but I would think this is an area you could fairly easily compromise. My mother in law has a 36" base cabinet for her pots and pans and it is a jumbled mess because it has too much space to stay organized. perhaps you could easily get away with a smaller cabinet?? and make so many other things work out better in the compromise?? not to hammer the point, but I think the size of the sink will have more of a day to day impact on you than the size of the base cabinet (just my humble opinion!!) :)

Originally I thought Roman shades, but when I read "lightweight, whimsical sheers", I thought of Urban Outfitters, https://www.urbanoutfitters.com/shop/draped-shade-curtain?category=window-curtains-panels&color=004 and because all of their curtains are on the more whimsical side, I think you could pick any to use with a tension rod, because you don't have room for proper curtain rods, https://www.urbanoutfitters.com/window-curtains-panels

I would switch the two dressers so the longer one is under the TV which you should lower some. Dress the two windows alike; completely cover them with lined drapes matched to the wall color and hung ceiling to floor. The windows don't look like they provide you with much light anyway and really need to be hidden. Then stand your floor mirror in the other corner. Move the slipper chair in the corner by the floor lamp. Remove the bench/luggage rack to another room.

Your room is lovely. With your traditional trim and crown molding, you could add a wooden valence box to hide the hardware. I would prefer draperies or Roman shades over shutters in your room. Much softer and you can still enjoy your view. Here is an example: https://www.houzz.com/photos/bridgewood-traditional-bedroom-houston-phvw-vp~5915006