You'll get more help if you post some pictures. There are a zillion shades of white, ranging from cool to warm. It will help to know what color your floors are, too.

ETA: Thank you for the pix - those help!

youve got neutrals covered...white cabs/ black counters/ biscuit shade tile.. I would consider a pale color for the walls. it would enhance things . pale green/ pale blue for starters. Paint is an area where you can expand the palette and it is not a huge investment or risk.

all your neutrals ..then pick off that pale green on the left for the walls IMO..you can keep it really light and choose warmer or cool green ..green is nice to work with.

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I like the idea of a color, too. But if you want to stay neutral, you could try to use a color that's similar to your grout.

I'd recommend painting your sample colors on large poster boards rather than the wall. That way you can move them around the room to view in different spots and different lighting.

I agree with Herbflavor above, a color would be much nicer than another neutral.

Grab all of the tiny sample strips for the Benjamin Moore OC colors and start playing around. Narrow it down to 6 and purchase samplize swatches for those. I'm a huge fan of neutrals and subtle differences between shades. If it were my kitchen, I'd try to color match to the backsplash.