I can only speak from experience of tiles and Karndean. We have two dogs, live in the country, we and the dogs are in and out all day. The dogs both used to slip even on terracotta ( back in the old days), and, i'd be worried about shiny tiles, especially with larger dogs that could slip far more easily and cause themselves damage. The tiles were dark and had to go, as they showed up the dirt. The grout was the biggest problem, as it was easily stained, and just not practical with dogs. We swapped to Karndean around 5/6 years ago and haven't looked back since. It's simply the best, unscratchable, hard wearing, versatile, easily cleaned surface ever. We live in an old cottage and it had to fit in, so we went with Van Gogh, a floorboard effect look, complete with etched woodworm holes! Love it.

Composite Deck? Once down you'll have very little maintenance for years. You could find a colour that matches your Ikea tiles too. Let me know if you need any assistance.

I think it will be difficult to find something to match. I could be wrong but, from the photo, it looks like the drive was some kind of crazy paving made up from broken slabs - 2 or 3 different colours (?) which have since weathered & faded. So if you found something similar to replace them, the colour would most likely be brighter. What happened to the parts of the drive that the builder took up?

We had granite worktop with upstand and no splashback in our previous house and I can honestly say it never bothered me; the painted walls were easy to wipe clean and even refresh with a bit of paint when some stain got stubborn (that happened only once!) The thought of grout in the kitchen terrifies me...! :)) We now have glass for splashback and I think it's the best! (I don't have any better pics of our old kitchen, at the time I wasn't into photographing interiors). My advice is not to go for tiles, just keep it simple and clean. Good luck!