Probably not. Your local water supplier tests your water constantly. They’re required to send you a report every year (boring, but reassuring).
You should worry more about the pipes in your old house. Those bad boys might be made of lead or rust, undoing all the fancy cleaning.
If your water tastes weird or leaves orange stains, get it tested. Otherwise, relax. You’re drinking the same water that hydrated a T-Rex.
And that, my friend, is pretty cool. Now go refill your glass. The water’s been waiting for you for millennia.