I had a similar instance where I could smell and taste the chlorine in our tap water to the point I contacted the local water authority. I was told that chlorine dissipates slower in colder temps. Oddly, they were out to test the water in our area (not my house) and within 2 days, the water was back to "normal".
Pool supply places sell chlorine test kits too but I'm not sure how low the readings go or increments.
Chlorine bound with ammonia (chloramine) is more stable, it doesn't dissipate or break down as readily as chlorine. Aerating a bucket of water with chlorine over 24hrs will off-gas the chlorine, not so with chloramine.
MrPpers, sounds like you may have a faulty test kit. I don't know if the ammonia should test positive if chloramines are present, but it should after the dechlorinator is added and breaks the chlorine-ammonia bond that is chloramine.
Amquel and the like bind the ammonia so it is non-toxic to the fish. The test kits will still detect it but it's non-toxic. You're correct to assume the kit is useless if using such products.
Roan, I just noticed your post count vs. your join date!
I hope you have an ergonomic chair and a good masseuse!!! 
Pool supply places sell chlorine test kits too but I'm not sure how low the readings go or increments.
Chlorine bound with ammonia (chloramine) is more stable, it doesn't dissipate or break down as readily as chlorine. Aerating a bucket of water with chlorine over 24hrs will off-gas the chlorine, not so with chloramine.
MrPpers, sounds like you may have a faulty test kit. I don't know if the ammonia should test positive if chloramines are present, but it should after the dechlorinator is added and breaks the chlorine-ammonia bond that is chloramine.
Amquel and the like bind the ammonia so it is non-toxic to the fish. The test kits will still detect it but it's non-toxic. You're correct to assume the kit is useless if using such products.
Roan, I just noticed your post count vs. your join date!