I think that would look great with floorboards in a classic walnut colour, that would definitely look great with the light cabinets. If you want an idea of how it might look with the end finishes, you can type this into google and they should be able to show you a few.

I’d go with timber or cork. Cork is great in a kitchen. Easy on your feet and joints and things are much less likely to break if you drop them. Especially as you age, tiles cause fatigue if you are standing in the kitchen for too long. Cork is now available in lots of different colours and styles including charcoals and greys that might compliment your slate. It’s not all 80s orange. Of course timber can look great too. Just make sure it’s ok for kitchen use.

siriuskey, Yes, the courtyard is open to the sky (no roof over it), I assume this is what you mean by double story. Ref. below photos, I would love to get this look, especially the first and last photo, where you can see family living space from the first floor. I can't achieve this in my plan as it eats a lot of floor space upstairs. The referred plan (photos) has a very big void combining staircase, hallway and dining area. I know it is not easy with cooling and heating when you have such a big void. So, I explored a few ideas (with my limited knowledge on this topic) before achieving the current floorplan. I have also thought about, in my current plan, extending the void on the staircase to the dining area (it is more like L shape) but i wasn't sure if that makes any difference. keen to hear your thoughts.

Since your tiles are NOT laid on a diagonal, they will not look dated. I would be concerned about the areas of floor that are used constantly. Eg: kitchen. Would the paint, overtime, be worn off. Laminate flooring would be good. If installing vinyl flooring, just be aware that the grout lines will show, if the tiled floor is not prepared before hand. You need to fill or the grout lines, so they are level with tiles. Maybe also installing an underlay before vinyl flooring. Personally, I don't mind the terracotta tiles. With the right wall colour and furnishings they look wonderful.