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Hide your photos.
Most people don't seem to realize their profile photos and other albums are available to strangers. The profile photos are usually shared more widely, e.g. to "Everyone," while the photo albums are often only slightly more restricted, e.g. "Friends of Friends."
From your Facebook home page, go to the Settings menu in the upper right corner, and select "Privacy Settings." Then select "Profile Information." Then scroll down to Photo Albums and click "Edit Settings"...

...and adjust to the level of privacy you are comfortable with ("Only Friends" was probably your setup before):
Hide other people's photos of youIf someone "tags" one of their Facebook photos with your profile, it can show up on your profile. If you don't want strangers (including "Friends of friends") to see these often candid shots, go to Settings/Privacy Settings, then "Profile Information" and adjust "Photos and Videos of me." We'd recommend "Only friends:"
It's insane that Facebook recommended that many people share their birthday with "Friends of friends" in its defaults for the new "privacy" scheme. This personal information can be used by financial fraudsters to help impersonate you to your bank, credit card company, email provider and others. We'd recommend showing it to as few people as possible. Or, even better, set it to a false date.
Under Settings/Privacy Settings/Profile Information:
Facebook is defaulting people to share their posts with "friends of friends," i.e. strangers. You may want to revert this to share only with your friends. Under Settings/Privacy Settings/Profile Information:

Remove your friends list from your profile pageFacebook has updated its privacy policy to say that you can never permanently hide your friends list, and last week it was impossible to hide the list from friends of friends (see Felix Salmon's second update here). This might be changing; on Monday, we couldn't find a way to view the friends list of certain "friends of friends."
In any case, it's definitely possible to make your friends list harder for strangers to view, by removing it from your profile. Go to your Facebook home page, then click on "Profile" in the top right corner to view your profile.
Then scroll down to the section of the profile that shows your friends (titled "Friends"), and click the pencil symbol in the upper left corner. This will reveal a checkbox to hide your friend list from some strangers, at least on your profile page:
Hide your profile from search enginesFacebook is touchy about this one, because it's always displayed some data for search engines, by default, and suddenly people are noticing. That's why when you go to change your settings under Settings/Privacy Settings/Search, Facebook now pops up this ultra-defensive dialog:

What Facebook doesn't tell you is that it now offers a link to "View Such and Such's Friends" from the public, search-engine-indexable profile page. At least, that's what ours does. At the very least, you should look at your search engine page using the preview link under "Public Search Results" and see if you want to continue to make it available:
Helaine . on 2009-10-24
This one has a broiler, but looks old fashioned. It has STANDARD Clean.
