achievements and stats reset for each world correct?
Nope. It doesn't matter what world you play on, but it won't reset unless you delete the stats folder in .minecraft.
It''ll get recreated if you deleted the stats folder, minecraft gets installed in another location or something.
Edit: I did forget to mention that achievements & stats are tied to your Mincraft account.
Quote from Minecraft Client News »
More statistics and achievements will be added over time as we develop the game. They’re only stored locally at the moment, but we’ll slowly be rolling out online storing of achievements over time.
They may add date acquired to unlocked achievements, but who knows?
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I also have a Playstation 3, along with the Xbox 360. I play Minecraft PC atm