Here is the kit, it comes with smaller version of the air pump i've got, same manufacturer though.
I am growing in Hydroton (clay pebbles) and using General Hydroponics Maxigro and maxibloom
You should be able to find airstones much cheaper than this at a local pet supply store. I happen to have an awesome little hydroponics shop near me where they stock airstones for maybe a few dollars.
Hope all this helps! let me know if you have any more questions.
No, I got it at my local hydro shop. It's probably equivalent to this. Plus a couple aeration stones and a small fish tank pump for the top feeding. I like the setup a lot. I don't have much to compare it to, but it works well for me. Changing the water in the bucket is the only annoying thing, but I have an auto-siphon from home brewing which helps a lot.