h2g2 The Hitchhiker's Guide to the Galaxy: Earth Edition

"There's a technique which is known to be successful with both dogs and humans, and, in the case of female bullies,
sometimes both"

I cannot make out what the latter part of this sentence means. Whatever, there are going to be large numbers of persons who will jump to conclusions about your meaning, and be offended.

In general, your paragraph construction is fine. It is a good rule, though, that the first sentence in a paragraph is the most important, and should be thought about as hard as the whole rest of the paragraph.

merely that some female bullies are 'bitches' and/or 'dogs'. (meaning mean and ugly, respectively). Is that offensive? Probably... oh well.