Schnauzer Following me Around the House
In response to "is it normal for your Schnauzer to follow you around the house"? I would say a definite "yes".
I had the pleasure of owning my therapeutic Miniature Schnauzer Skippy (salt 'n' pepper) for 10 precious years. I am disabled with a 10-year-old son and a husband who works long hours.
Skippy went with me where ever I went, it did not matter. He followed me everywhere, even if I got up and he was asleep, he still would follow me around, he wanted to be with me, like nearly all Schnauzers do.
I think that they (Schnauzers) become very family-oriented, not thinking that they are, in fact, a pet or even a dog. They are very loyal and giving of themselves, especially to the person who primarily cares for them.
I think that Schnauzers are perhaps the most intelligent breed.