OK, so, there are soooooooo many pitfalls and such for criminals. But say... if I'm the Ghostface killer from Scream 4 who uses iPhone to call and taunt his victims, what steps do I have to take to make it untracable back to me? A totally new phone? New number, without my name on it when I bought it? No fingerprints, of course. You buy a burn phone from Wal-Mart or other store. You make sure you don't call a known landline that would connect back to you. You throw it out every month, although better practice is one call and gone. Internet use is harder, and probably requires a new computer every month and using public web access. I'm not sure how confident I'd be even with that approach. Once they snag one trace of you on the internet, if it's worth it, they can do a lot of back tracking and public internet access frequently has video connected to it.
And then when I'm done. I assume it's a good idea to grind the phone into 1000+ shards? What other loose ends do I have to take care of, or what can I do to disguise/cover my track regarding the information recorded on those third party? Better solution is to let it be stolen, or place it on a truck and enable the GPS tracking.
What's fishing expedition? Sorry, I'm not familiar with your legal/investigation process. You mean you try to physically access the comp I have? So is it safe if I don't store that information in my PC? Your computer stores stuff whether you want it to or not, including keystrokes. Whenever your phone or computer connects to a network, it records it. And when you show up at websites, like AW, it records it. And removing all traces from your computer requires a bit of ability.
Aside from that, provided that I can turn off Apple Snooping, is there anything else stored on Apple I have to cover? No one is quite sure what Apple gets. (And this may include Apple.)
And what are the odds of discovering it? What type of info can be found? And any ideas on how I can cover those? Depends upon what you're doing. If you're going to the wrong websites, your computer is being searched. People see pictures that shouldn't be there, and your computer is searched. Big areas are child pornography/pedophiles and terrorism. These searches are expensive, time consuming, and require some serious technical expertise.