Anonymity is a joke that the powers tell to give us hope.
by TheLeviathanRight, use TORP to be anonymous. That's hilarious. VPNs don't matter either because any provider that has any brains doesn't say no to the NSA. They will give up your information without a second thought.
This would be worth a look at.
Here's a pretty neat guide I've used before:
https://www.cyberguerrilla.org/a/2011/?p=3322
It won't be worth to use that if your computer is shit though.