So Nutro's fine. Phew. It's reassuring to hear other people say they feed it to their dogs, too, and are really happy with it, apart from just being told, "Er... Nutro's a waste of money." In terms of the ingredients, this link should take you to the actual website with all sorts of bits and bobs there:
http://www.nutro.com.au/adult-dry-dog-food-rice-and-oatmeal.aspx. It says no chicken by products, and has dried chicken as the first ingredient.
I picked the oatmeal one because it's meant to improve his coat; I use an oatmeal shampoo and it does wonders as well, so I figured if it's good on the outside, it'll probably do him good on the inside, too

Just getting him off SuperCoat and onto something a bit higher quality makes me feel better.
I've never considered a raw diet and I know very little about it. I feel super lazy saying this, but convenience wise it just seems like a hassle. We live in a tiny cottage with absolutely zero room for any sort of chest freezer, which would mean buying things in bulk, making up meals and storing them, would be pretty much impossible. And, correct me if I'm wrong, does it involve feeding bones? Ask me about bones this time last year and I'd have been raving about how pearly white they make Charlie's teeth, but out staffy mix ended up with huge chunks of bone stuck in his bowel that required an enema- and over $800 AU at the vet's- to clear out. On the vet's recommendation, we're sticking well away from anything smaller than a huge marrow bone that is physically impossible for them to chew bits off. It was probably a bit of a freak occurence- both of them having been eating bones for their whole lives- but it spooked me a bit. I got Charlie a baby toothbrush instead
But thanks so much for all the help. I was a bit startled, logging on this morning and seeing so mnay replies. You're all very helpful, so thank you.