I was right there with you until the last few sentences

First of all, my allergist and family ENT told us from day one if we wanted a cat or dog or any other animal that having them in the home from the beginning actually reduces the likelihood a child will develop an allergy to that animal.
I don't know a single parent in 25 years who has ever had a problem with our multitude of pets ranging from all extremes ( not big dogs though). So saying many parents would choose a dc without any pets has not been my experience.
With that said, I would not allow my kids into any home with any animal that has been deemed dangerous or when I went for an interview I got a bad vibe about, regardless of breed.
In regard to cleanliness, my house is the cleanest house I've ever been into and we have multiple pets. So that statement couldn't be more false.
In regard to animals being "NOT SAFE" .. Never has a more uneducated statement been muttered.
Wow..that's all I can say about that.
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