I got one question as well! A little bit of a background: my wife and I have the same electric toothbrush. My looks pretty much as new, while hers is all crusty and scaly, especially at the charging base.
I came to the conclusion that the only difference in what we do is that I shake twice when I'm done. As a dude, it comes naturally. However, she's never acquired the habit to "shake afterwards" and just puts the wet toothbrush back on the charging base.
So my question is: do you shake the water off before putting the toothbrush away?
And to answer OP: I rinse the toothbrush before putting toothpaste on, she wets it after.