Bay window ideas for the living room need to incorporate privacy as well as warmth as often the sheer amount of glass can leave you feeling exposed (as well as chilly).
Living room window treatments, if facing onto the street, should allow as much light as possible but with added discretion. Consider a more sheer blind such as the Duette® Shades in Batiste fabric, in the lightest weight of its three thicknesses.
Or for more privacy choose a top-down/bottom-up blind that gives you a view and your privacy. If you are overlooked from flats above deep window valances can obscure the view and add in some nice fabric softness when combined with edgy wood blinds.