Go to your profile settings and click deactivate account and it will put you out of search results and all applications.
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You need to get a life, meet...
On facebook: you go to settings, and then when that page opens, there's a link that says DEACTIVATE my ACCOUNT. Click on it, and BOOM! On Myspace: you go to my account, Account link, and then there's...
Create another account aside from your original account otherwise you won't be able to send gifts to yourself because gifting is meant for your neighbors and friends and not for yourself.