I would go with neutral warm white or off-white

Some visual

I think Kendall Charcoal looks best with Lucy. But when looking at pictures online, you're guessing. Get a large sample of KC from Samplize.com and look at it next to the sample board for the flooring options. Then, if you can before the builder orders the floor, ask him to show you a box of your choice. Lay out several boards on the floor so you get an idea of how it's going to look on a larger area. Sometimes sample boards aren't exactly like the real thing either. There are posts on this forum from people who were disappointed because of this.

But I would spring for real wood on the first floor, stairs and upstairs hallway, and carpet in the bedrooms. Think about how difficult it is to replace flooring while you're living there. It's equivalent to having to move out. Nothing beats the attractiveness and durability of real wood.

I vote for the far left sample. The tile pattern is classic, and it mimics the pattern of the floorboards. The color scheme coordinates with your pretty, new cabinets yet is neutral enough to accommodate any number of color changes that might be visited upon the cabinets in future. Your kitchen looks really nice. Good luck with the backsplash.