OK, well its clear that its a good thing you now have your API kit. The household ammonia sounds like its an OK type and so you now have the two things you'll need. I think we need you to give us a set of test results (ammonia, nitrite(NO2), pH, nitrate(NO3)) for your tap water and then the same for your current tank water. What is the tank volume again?
We also need to review the manufacturer and model of filter and exactly what types of media you have inside it. Its good to be sure that is right before a fishless cycled gets started. The members are good at knowing what types of media would be ideal.
Once we know the filter media is right then it will be tiime to start a new thread where your fishless cycling process will be documented (you also want to have an "aquarium notebook" at home in your aquarium room so you can keep more personal notes and have a long running record of everything that happens to your tank each day.) In your "fishless cycling" thread its good to re-state all your baseline information (tank size, tank particulars, filter particulars, test kit, ammonia type, any other things in the tank etc.) at the top and then to begin a daily log with daily lines something like this:
Day X, Temperature, Ammonia result, Nitrite(NO2) result, pH, Nitrate result, (was more ammonia added?), observations etc.
(Not all items will be needed each day.)
~~waterdrop~~