The brand new article Installing Tomcat on Windows
is badly out of date. In fact the latest tomcat is 4.0.1 and installation
on windows is stunningly simple. Download the windows version doble click
the exe follow the prompts and the app is installed.

Even better it will run as a service should you desire it to or you can run
it from the command line.

4.0.1 has so many improvments over the 3.x.x Tomcat that there is every reason
to use it.