Gene, I've had good luck w/Zerostat. Used/sold several generations. There is a Z3 sitting in a case across my room. Part of the trick is if it clicks a lot, you've done it too fast. It should be a slow, smooth squeeze. It should be approx. the same speed squeeze up and down. Forgive me if my memory is a bit cockeyed. One squeeze releases negative ions to free positive charges. The other releases positive ions. It DOES work, you simply need to get the hang of it. But, I don't expect it to get rid of 100%. Most/much of it, yes.
However, most homes/apts have dry air. Without humidification, you'll be far more prone to static electricity. That often translates to electric shocks while walking, unplugging electronics to reset it and staticier (is that a word?) LP's. In most environments, that tends to be the biggest factor, IMHO.