Greys can be tricky and "read" so very differently in one space to the next, depending on the light. Dulux Raku or Malay Grey may be worth a look for deep tones. Also, check out the colour atlas at the paint store as it will give a lot more choices then the display of sample cards or brochures. This will also tell you the Red, Green and Blue value (RGB). You'll want the blue value to be less then the red to get a warm grey.

Taubmans chilly water (more green) or misty rain (more blue). i'm sure there was a design dilemma post from a while back that gave the Aussie paint answer to this question. Hopefully someone who knows will see this and link it.

We have dulux chanson on ensuite walls paired with white cabinetry and trims. https://www.dulux.com.au/colour/chanson Aerobus= slightly darker or Miller mood = slightly lighter

I love the idea of blue or aqua you have shown here - not that I have an aversion to grey, I love grey too but I think some colour as shown here would be beautiful.... are there any colours within your home that you could draw inspiration from? If you were happy enough to share a photo of the front facade of your house, might help with some colour suggestions :)