There is a particular filter on Instagram that I sometimes use when I want to convert colour photos to black and white. There are a few options you can use including one called willow I think, but I prefer inkwell. I generally adjust the colour balance first and then go to the filters and choose inkwell. The blacks are rich and deep and the light and white colours are not overexposed. The grey tones are warm and the overall picture remains as it was when I took the original photos. I generally don’t do any more editing than that.
One thing that can be confusing is when it snows, the image of the wire and gemstone ygdrasil tree hanging in our window , with snowy roofs behind is a case in point, I chose it from a tiny thumbnail, and now looking at it the sky seems a bit pink? Actually when you look closely you can see the brass ring on the window hanging is coloured. The world can be black and white without filters!