Not sure if the bulkhead is away from the wall - is there space to place a rod above the windows? If not, drapery rod will have to be hung from the ceiling, I believe and you should first decide if you like that look. If you have space for a rod on the wall, then there are lots of options around rods/drapery. Roman blinds will be nice as well, so I would suggest looking at lots of photos on Houzz - drapery styles, patterns/fabric, colors and rod styles + roman blind designs before you decide. Not only is the blind vs drapery a decision, but major components like pattern, color and style will be as important.

Roman shades

Simple Roman blinds -- then, if you want to, you can go to town on your upholstery and accessories to bring more ornamentation into the room.

Thanks! The bulkhead comes out from the wall. I think roman blinds might be our only option. Here's a closer picture.

Not necessarily...rod would just not be seen (pic #1). If you do go with roman blinds, I would place some type of furniture. under the window to make it feel more complete.Will also have to consider three panels or one long blind.