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It is actually fairly simple to change your information. On the right hand column below Inbox, Alerts, and Friends click on Settings. Here you can adjust your information accordingly, for example: under the birthday drop down menu you can select "Don't display my birthday or age".
Your home address has never/will never be available to the public. Only your city and state are visible to others when you enter your zip code. Although, if you feel uncomfortable with this info showing you can always add a fake zip code.
In addition, you can change your Privacy settings under the "My Settings" page. This way only your accepted friends will be able to view your profile page.
I hope this helps!