How do I use my Internet Explorer favorites everywhere, at home(my own PC) ,in office(our company's PC) or in my travel(my laptop )?

simple ,use a thumb/jump drive copy the favorites folder to it and just carry it with you where you go .when you want to use it just open the folder and click on the favorite you wnat to use and it will open with the default browser on any computer you use
the favorites folder is usually indicated by a star icon and can be found in C:\Documents and Settings\your user name ,just copy and paste it to the thumb drive
if you don't know what a jump drive is here is one --
http://www.lexar.com/jumpdrive/index.html

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