Welcome to the Q&A Forum

Hi Thomas, That's not a good idea. You should publish your client's business name identically across the whole web. So, if they are Trusty Tax Preparation, list them exactly that way with no additions or subtractions every single place you list them. If you are using Schema to markup the business, for instance, on the website, rely on the address fields to differentiate Trusty Tax Preparation in Miami from Trusty Tax Preparation in Los Angeles. Remember, local rankings are founded on the clarity of NAP (name-address-phone number) so be absolutely consistent everywhere you list NAP.

I would use Google to do a search for the content to see what comes up. Also Google gives all the credit to the first content indexed. So you will not be punished as long as your content was indexed before the syndications.

Which is your preferred domain URL: with WWW or without? And do you have your site set up to redirect visitors to the correct one? I'd suggest using whichever is your preferred URL.