LaTeX.org

One simple line in the preamble of your document should do.
\assignpagestyle{\chapter}{empty}
Must have overlooked that in your example.

Ok, I got to the end of my project and included the index via

\printindex

and it has a page number on the bottom center. Ugh!

I thought that setting new ...

Exactly what I needed. Thanks again for your help.

That worked wonderfully. Thank you!

Quick follow up: replacing my fancyhdr setting with yours has resulted in a page number being printed on the bottom center of a new chapter page.

I need for there to be no page number on the bottom of a new chapter page.

Can you tell me how to accomplish this ...

I am using the standard book documentclass, and am using setting up section in the standard way:
\section{A Big Section}
I am happy for this title, A Big Section, to be used as the running head, so I do not use a short section name.

However, now I want the ToC entry for this section to be starred ...