There is no need to apologise for the questions. Its what the forum is here for.
At a pH of 8 and lets say a water temperature of 24c you should be seeing 0.2ppm free ammonia from 4ppm TAN. Thats very high for free ammonia. Ive never used the test kit you are using for free ammonia so i dont know what the lower level is for the test to detect, but if it should be able to detect 0.2ppm free ammonia then it could be an issue with one of the tests you are doing.
4ppm ammonia from chloramine in your tap is really high. Is that drinkable? Do you have access to your tap waters water quality report from your water company? Normal level of chloramine treatment is 2 to 4ppm of chloramine. Here in the UK maximum chloramine level is lower at 1.5ppm i think. About 1/4 of the chloramine should be coming out as ammonia so 0.5 to 1ppm ammonia is what most people who have chloramine treated water see.
Personally i wouldnt switch to fish in cycle at the moment, as im not sure what we are seeing. If your free ammonia test is correct then its would be safe to switch. If my working out of what free ammonia you should be seeing based on TAN and pH is correct, any fish would die quite quickly. Longer term, if your tap water really is 4ppm ammonia and with such high pH it might not ever be safe to keep fish in it as everytime you did a water change you would be putting in very toxic water.
For now i would leave things to cycle fishless.
See if you can get a water report from the water company as it will be more accurate than your own tests. Here in UK you can get water quality reports online. Im not sure if thats available where you are located, but you should be able to request a report if you cant access it online. If you are able to get hold of this, look for chloramine levels, ammonia, nitrite, nitrate, general hardness (GH) and carbonate hardness (KH) and let us know what it says.
Treat a jug of water with water conditioner, let it sit overnight and test it for pH, ammonia, nitrite and nitrate. Compare it with what you see in your tanks water. Let us know the results of this comparison.