You'll have likely seen this already but here's the cover of the new book:
I'm delighted with it; I think it does a fabulous job of not only capturing the main themes of Blue Remembered Earth, but also of hinting at the elements (should that be elephants?) that will come to play an increasingly significant role in the successive books. And the colours are gorgeous. I've seen a door-sized blow-up of this cover and it's a thing of real beauty.
As for the next book, I'm well into it. It's a skewed take on very slow interstellar travel, picking up the threads of BRE a few centuries down the line. The main character, like Geoffrey and Sunday in BRE, is an Akinya - but it's a bit less straightforward than that. It's also about humans and machines, longevity, memory and identity, alien intelligence, exoplanets, and elephants.