With tilt and turn windows I can only think of two options, either face mounted shutters to the actual window, which the fabricator might offer, or a rod hung on the face of wall above the window opening, to avoid the window catching on them. A track sheer or drape will work aesthetically, but practically?? Presuming when the windows open, so too would the curtain, it only matters at the end of day when you want to close up and have privacy, so perhaps a holland blind (pull down) so it's least conspicuous.

http://www.ecostardoubleglazing.com.au/upvc-double-glazed-windows/

Double Hung Windows (aka sash windows) allow you to enjoy the benefits of natural light and air in any context in your home, including areas with limited opening spaces By opening both sashes halfway, of a double-hung window, you allow for more air flow than a single-sliding window. The top sash opening helps hot air to escape. While the lower sash opening draws in cooler, fresh air. Would you install a Double Hung Window over a normal sliding window?

Different rooms will need diff solutions. You can hang blinds on the windows themselves or mount blinds or curtains on wall above window, just make sure they are mounted out far enough for the window to be tilted open and with curtains that you can draw them back clear of the window to allow it to swing open. Looks like you have wall space in the living pictured.