Move to Montana if you value your civil liberties that have been taken away from all Americans by olamo's spying
Montana recently passed a bill that requires the governent to obtain a probable cause warrant before spying on you through your cell phone or laptop. As Alexander Abad-Santos writes, "if you don't want the government to spy on you, move to Montana." Montana might be the safest state from cyber-spying in the nation, as it is the first to pass a comprehensive anti-spying bill, doing so even before the Edward Snowden saga broke out.)
Before we continue, we should flesh out an important distinction. When you think of an email, what you generally think of is the content of the email, the message. In order for that message to get to you, though, the email also needs to contain metadata, a term loosely-and-not-entirely-accurately used to refer to information about the email message itself. For example: who it is addressed to, who it came from, what its subject is. (We have gone deeper into this before.)
That distinction is important because email operates like a letter sent through the post office. A letter, sealed in an envelope, can be hidden from the mailman. But the mailman needs to be able to read the address, or your letter won't get there. In this case, the metadata is what appears on the envelope; the content is the letter.
So there is a good way to hide the content of your email messages. A tool called PGP (short for "Pretty Good Privacy"), created by a man named Philip Zimmerman, offers a way to encrypt (encode) email messages between two parties using what's know as peer-to-peer encryption. That's an important property. It means that person A encoded the message and only person B is able to decode it. So as the envelope moves around the web, you can be sure it stays sealed until it gets where it's going. (How PGP actually works isn't important for our purposes. In short: It involves doing a math problem involving two very, very large numbers.)
How do you get PGP? PGP as a brand is now owned by Symantec, so you can give them your money and they will set you up.
PGP is an open source standard. You don't need to buy Symantec's PGP product. If you're worried about Obama spying on the funny cat pictures you forward to your brother-in-law, you may want to think twice about using encryption. Not only does encryption not obscure the metadata that the NSA collects, but the encrypted payloads are flagged as suspicious and are more likely to bring attention to your communications. There's also informed speculation that they've built out the capability to crack the most commonly used encryption algorithms. Moving to Montana won't help you either. Federal anti-terrorism laws trump state and local laws.
All of this is to say, your plan has a few holes in it.