That is not a problem we have here in the UK, well I don't anyway, I think they only use chlorine in tap water here in the UK, I could be wrong, but I don't get any ammonia readings when I test the water coming from the tap.
In theory I suppose the nitrate level would rise quicker if you are providing the nitrifying bacteria with more ammonia, it would be the same as having more fish. However, if you have a biological filter that is nice and healthy you shouldn't have a problem with ammonia. What is your pH?