Valspar has a color called "Silver City." It is a nice gray with just a smidge of blue to it. It you have a nice texture and use semi-gloss, it's shimmery. Looks great in my little boy's room, which has zero texture. And I had extra, so I painted my bathroom with it too! (That;s where I found the shimmer!) Looks great with all colors, especially browns and primary colors. I can look at my chip books and see what I can come up with if you're still looking.

Lighting has a HUGE effect on how we see color and greys can be particularly frustrating because they can have such a variety of undertones. My go-to gray is Benjamin Moore Gray Owl 2137-60 because it has a warm undertone so it's great for creating cozy family spaces. Plus it's neutral enough to work with pretty much any color scheme. I would try it in both the living room, entrance and kitchen to create a flow.

Thank you @everdebz and @eam44 for the input. I did hire Kylie for a cabinet color consult and she did a good job (though I hadn't chosen a counter top at that point), I was more looking for a cabinet color that would be a "white" that would look good in a north facing room and this is from her consult - "SW Alabaster. This is a warm, creamy white. It will help to off-set the northern light coming in, without being as yellow as Dover White." She also suggested Westhighland White as a 2nd choice. SW 7566 but I feel I see a bit of pink...maybe I need my eyes checked. I do like Alabaster, but it seems a bit too warm for some of my counter top selections. What is the "nuance" of SW alabaster.... And does it contradict what Lori says about nuance below? From reading the chroma info from land of color expert @funcolors it seems I want "Colors with a nuance that is light and clear. Meaning choose paint colors that are clear but not vivid or bright", but how to pick one. Don't exactly understand how I figure out "nuance". Also, do I start with a paint color that will work in a northern exposure and then select a counter top to go with, or do I pick a counter top and then pick a cabinet color? I see so many counter tops that I like, yet I can't figure out how to pick the proper paint color that will work with the counter top AND the north exposure. And then to bring in a dark color for the island. Kylie suggested SW Cyberspace or SW Grizzle Gray 7068. I really like Grizzle Gray, but I am concerned it is too muddied and gray for the northern light. Will the gray stand out more? Say I chose something with green undertones (SW Urban bronze 7048) is the blue north light going to counteract to make these colors appear brown? or will the green tones be more prevalent. Bottom line I am still having a hard time figuring out what the natural light will do to the various paint colors. And because the house is under construction and my cabinet color choice needs to be made, I am not in a situation where I can wait until everything is in place.

Have a peep at 868 Mountain Mist by Benjamin Moore. It can be a little ethereal, depending on the light. Pretty. It’s very similar to Farrow & Ball’s Borrowed Light. They are both from the Blue-Green Hue Family.