Much like ceiling breaks, change flooring materials at defined room "edges". In other words, figure out something else for the foyer (I know, "The dog has wet paws"!). FWIW, my own foyer is hardwood, we have a small area rug there and 8 years later it still looks like new. Now that I think about it, I've designed numerous houses with hardwood foyers and 25 years later they still look like new!

At least you don't just have it in the kitchen! Lived in a house like that and it looked horrible with the tile stopping about 2' out from the island!

Hmmm, I'm leaning toward vertically(?) because it looks like the planks would lead you between rooms, and the planks would go the length of the hallway. I didn't go through the whole floorplan though. Think about how you would place the furniture.

My planks are parallel to my main sofa but cut across the short width of the kitchen. Since I don't look at the floor of the kitchen very much, it doesn't bother me. When I put hardwood in the bedrooms, the planks will be parallel to the lengths of the beds. They will be perpendicular to the planks in the stair treads, and I think that might be better especially if the stair tread planks are a different width than the floor planks.

Think about the flow through the rooms. The planks will visually lead you through the rooms. Start with the front door. The tile there will lead you somewhere, then the floor might pick up the path. The foyer tile is throwing me off. Would you want to carry the foyer tile through the hallway to the master suite entrance? That way, if you had wood treads on the stairs, you would have some contrast. Or you could do wood in the foyer and paint the stair risers white. I would not depend on the stairs remaining carpeted or with a runner.

What are you planning to have on the stairs?

I would do vertical. I have read to follow the lead of the windows so the light flows along the length of the boards. Vertical boards will flow nicely leading from your front entrance, as well as the hallways, versus running them horizontally against the flow.