Oh heavens, I didn't know about Teflon. Thanks for telling us. Did you also know that perfumed candles/air freshners/incense are also bad for birds?
I'm firm - but fair. Mind the rules and enjoy your stay.
According to the Humane Society of the United States:
There are an estimated 3-4 million dogs and cats euthanized each year in the US alone! PLEASE - spay and/or neuter your pets!