Here in Germany I tested twice. Once, I took one of several online providers who send you a test kit - I think it was some 20 Euros or something similar - and you follow the procedure they give you and send the test kit back. You get an email and a website with the result after a few days. This is just for your own information, you cannot use such results in court, for example.
Another time I asked my local city water lab. They had no procedure for some random guy from the public, since those other companies exist and already make it convenient, but they still did not even try to send me away and the big lab boss himself handled my case, explaining the procedure and all, and taking the water samples back from me. Price was similarly little.
By the way, that second time I tested a very commonly sold entry-level Italian portafilter machine, a Rancilio Silvia with a brass boiler that even today contains lead. Following the sampling procedure I had agreed upon with the lab boss as the correct one the lead values I got back significantly exceeded the limits. And about those limits, the medical limit is zero. That the official limit is higher is because our society is unable to get us to that desirable level.
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By the way, a good chelator for lead is DMSA, which is produced very cheaply in China. Russians produce "Unithiol" (DMPS) which is best against mercury, and somewhat good against lead (and a lot of other stuff). I actually got Russian Unithiol even though DMPS also is produced here in Germany as "Dimaval". I never used EDTA derivatives for chelation, but I have many years of.. experience with DMSA and DMPS. See somewhere in my comment history. That is why I took lead a bit more seriously and why I tested my portafilter machines. I now have an Ascaso Steel Uno PID whhere the manufacturer took great care to eliminate anything that could be problematic in all components - plus, it's a really good portafilter machine :)