Walking discretely

I have always owned normal sized mutts.
I have never particularly related to small over bred dogs.
I am dogsitting two undersized fluffy things (which are evidently canine) for two different friends simultaneously.

Someone always asks: "Are they yours?"
"NEVER!" is my response.
Every time I walk them, I feel I develop a definite sashay!
Perhaps I should put a paper bag over my head?