Never be embarrassed. I do it all the time ;) I'd be walking home from work, focussing hard not to walk. Just staring blindly ahead, allowing auto-pilot to take me home, and focus on every sensation of every muscle in every part of my body.
Then again, this was in Hong Kong, where you see groups of oldies doing Taichi and what-not in every corner of the city. I still do it occasionally here in Vancouver, the city of Yoga, so it's still fine ;)
In-house the game is to be as stealth as possible while doing any kind of chore. Ninja mode, or 'do not wake women at night' mode. Just moving a cup (even worse, a metallic object) from A to B becomes a challenge, but when you drop the cup on the table without any sound you feel like a magician.
That's cool, I do the same and hadn't considered that others would too. :) I always cringed when my wife and kids crash around making a racket doing everything but I realized they were just making normal noise and my perception was warped from trying to do everything silently.