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I am new to TeX and here is my attempt to (ab)use mfirstuc to define an environment that counts the words. I am looking for suggestions on how to improve the implementation.

\documentclass{article}
\usepackage{mfirstuc}
\newcounter{wordcount}
%Make sure we don't accidentally overwrite things with \def and \let
\newcommand\cwaux\relax
\newcommand\oldgmfu\relax
\newcommand\temppar\relax
%
\newtoks\temppar
\def\cwaux#1\par{\capitalisewords{#1}\par}
\newcommand*\myglsmakefirstuc[1]{\stepcounter{wordcount}#1}
\newenvironment{countwords}{%
\setcounter{wordcount}{0}\let\oldgmfu\glsmakefirstuc\let\glsmakefirstuc\myglsmakefirstuc\temppar\everypar\everypar{\cwaux}%
}{%
\everypar\temppar\let\glsmakefirstuc\oldgmfu Word count:\arabic{wordcount}%
}
\begin{document}
\capitalisewords{Outside the environment, \texttt{\textbackslash capitalisewords} works normally.}

\begin{countwords}
One paragraph.

Another paragraph which is longer.

\end{countwords}

\begin{countwords}
The third paragraph.

I am glad to see this works.

\end{countwords}

\capitalisewords{Outside the environment, \texttt{\textbackslash capitalisewords} works normally.}

\end{document}

Pdf file rendered

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4
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You can do it in a more robust way, using expl3.

\documentclass{article}
\usepackage{xparse}
\usepackage{mfirstuc}

\ExplSyntaxOn
\NewDocumentEnvironment{countwords}{+b}
 {
  % typeset the contents and add \par at the end
  #1 \par

  % save the contents of the environment in a token list variable
  \tl_set:Nn \l_tmpa_tl { #1 }
  % blank lines generate a \par, change it into a space
  \tl_replace_all:Nnn \l_tmpa_tl { \par } { ~ }
  % split the token list at spaces
  \seq_set_split:NnV \l_tmpa_seq { ~ } \l_tmpa_tl
  % remove blank items
  \seq_remove_all:Nn \l_tmpa_seq { }
  % print the word count
  Word~count:~\int_to_arabic:n { \seq_count:N \l_tmpa_seq }
 }{}
\ExplSyntaxOff

\begin{document}

\capitalisewords{Outside the environment, \texttt{\textbackslash capitalisewords} works normally.}

\begin{countwords}
One paragraph.

Another paragraph which is longer.

\end{countwords}

\begin{countwords}
The third paragraph.

I am glad to see this works.
\end{countwords}

\capitalisewords{Outside the environment, \texttt{\textbackslash capitalisewords} works normally.}

\end{document}

enter image description here

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