Hi Fish_Man43 and Welcome to TFF!
The Q (Quarantine) tank is not needed until the -second- stocking of fish and later. For the first (initial) stocking of fish, there is little or no point to the Q-tank as you would just go ahead and treat the disease in the main tank if it occurred. Once the first stocking has been successful and you have a bunch of happy, well-adjusted fish, you wouldn't want to wipe them out with disease being brought in by new fish, so the new fish need a period (two weeks? depends..) in the Q-tank. To tell the truth, I'm so slow I end up with fish in my Q-tank for weeks and weeks before I bring them over to the main tank. I've got 5 excited little neons in there right now just begging to be put across the room with the big fellows, lol.
Wonderful that you've run across the term "cycling" and are doing it? What brand of household ammonia were you able to find? What is your test kit? The fishless cycling process rarely takes less than a month, more often 2 months (well, sometimes 2 months) and we usually hear questions from new members before they've reached the end of it! Did you base it on our Fishless Cycling article in the Beginners Resource Center?
~~waterdrop~~