Rick Klau has written up an excellent guide to keeping your Google account secure on his blog. Many of his tips will apply to other accounts too such as choosing a strong password.
Speaking of passwords, did you know that “this is fun” is 10 times more secure than “J4fS<2“? Here’s a great article on making your passwords both secure and useable: The Usability of Passwords. Or, if you’re more of a visual learner, this XKCD cartoon sums up the situation perfectly:
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