I need to create a website that is totally untraceable back to me, even from the police. The reason is that there is some shady behavior by the police and I am afraid of any reactions from them toward me or my family. How easy is it to do this? Is it even possible??
Taking this question at face value, and since privacy is a growing concern...
You would likely want to use an anonymizer so that any signups and logins to servers would be done anonymously through a proxy server. Server logs might still be obtainable, but more difficult if the servers are located in another country, particularly if they're daisy chained as well. You can do a Google search for online anonymizer services and software that might provide this.
If you need a unique domain for the website, you can use a "Domain Privacy" option during registration, preferably with a registrar located in another country as well. See this question for more on that: Concerns regarding registering a domain name with a home address Otherwise, a user account at a free or shared web hosting provider might suffice.
Keep in mind that tracking could still be accomplished with the proper resources, authority, and cooperation of the server operators.
Lastly, if your name really is "Fred", you might not want to use that :-)