Roman shades on the lower portion of window only in the bay area.

The final pick should depend on the rest of your furnishings. For the long bay window, it would look clean and simpler to put drapery on the inner wall rather than along the bay window. For the non-bay window, many types of window treatment like drapery and shutters would work depending on the furnishings. Remember to also consider direction of windows when choosing the window treatments

I would like to see plantation shutters for light control and privacy. A built in custom window seat, that opens for storage inside the bay would be great with custom made cushions. Then I would put 1.5 width decorative drapery panels on the sides of the other window with plantation shutters also.