Let me answer your cleaning question first. If you can't scrub it off with just water, you can use a VERY diluted bleach solution (just a few drops in water). But then you'd have to rinse it well and do at least a couple water changes before fish.
Anyway, the ammonia you should use to cycle would just be a pure ammonia solution with no surfucants (you can find this at any store in the cleaning aisle). Just make the sure only ingredients are ammonia and water.
You can cycle with just an ammonia tester, but because you won't know when your nitrites have spiked and then gone to zero, you should wait a couple weeks after your ammonia can go from 3ppm to 0 ppm in one day. Continue feeding ammonia each day, but wait a couple weeks while doing this. Then do a large PWC. Then add fish!
However, I would strongly recommend spending a little extra to get the nitrite test as well, if not the nitrate test. You REALLY need to know your nitrite levels, because that can be super harmful to fish. And if you get a stall in your cycle, you won't know...