This white is actually the base white from Sherwin Williams, in semi-gloss. Ultra Pure White, I believe. It's a very clean white that essentially reflects all colors. This kitchen gets mostly north light so it appears blue most of the time, but will get some direct sunlight and turn the kitchen a yellow/red.

What white would you suggest for painting maple cabinets with Carrara countertops?

That will depend on a myriad of questions. Are the walls painted a particular color? What are your appliance finishes? What is the floor finish? What is the backsplash finish? Is there extensive moulding on the cabinets or are they more contemporary? If we're just talking about a white, are you looking for a warmer or a cooler feel to the room? Is the natural light coming in north light or south light? Do you get more morning sun or afternoon sun? All of these questions and more will inform your decision. Not the least is also personal taste.

Oh dear. He is thinking the kitchen walls will be the same color. The connecting dining room will either be the same color or a grey. Floors will be wood medium dark kitchen will be in the center of the room with mostly light coming in from dining which I think is north. But I don't know. I don't want a cold looking room but not a creamy color either on the cabinets.

Attached is the floor plan

Your kitchen is going to get very little natural light, which means you will have almost all electric lighting hitting the surface of your finishes. Most residential lighting is around 2700k, which is a warmer light - i.e. more yellow/red than white/blue. Any white you choose will appear more yellow as that is the color of light hitting the surface. I would look at cooler colors that will balance out the electric lighting. Also, if your dining is north than your breakfast nook is south, so you will get some direct light through those windows in the winter. Given the size of windows I would stay away from darker colors. Whites, yellows, and very light grays.

Best of luck.