How do I fake accent?

Now, as a non-native speaker, I naturally have this weird accent that somehow pops up sometimes among my tv-show influenced bland vanilla american accent.

The question is, how to fix that - and has anyone tried "learning" another accent? Might be cool to pretend you're an Australian sometimes.

1. Move to Australia
2. Develop attraction to men
3. Shove lots of cock down your throat
4. ???
5. G'day mate this sheila here says PROFIT