When you Sign Up on a site, don’t provide your real information i.e. name, phone number, address etc.Always use imaginary details.
2) Don’t Upload Yours Pictures:
If you want to be Anonymous on internet you shouldn’t upload your pictures on internet to use them as avatar or anything else.
3) Use Website Privacy Options:
Privacy Options also help to be Anonymous on internet.Always use Privacy Options If Available.For Example you can use privacy options in Facebook to block visibility of your personal details to persons other than friends.
4) Be Careful to whom you Add:
If you are Using Messenger like Yahoo or Windows Live.Always add the known persons.Don’t add unknown persons.
5) Use Proxy Server:
When you use proxy server you are also anonymous.There are many websites on internet which allows you to browse websites using Proxy.Search Google to find proxy sites.Some websites are given below.
http://kproxy.com
http://freeproxy.ca
http://hidemyass.com