How do I Remove Searchmyrequest.com?
Since Searchmyrequest.com appears to be a variant of CoolWebSearch, the easiest way to regain control of your system would be to download and run a program called CWShredder, created by Merijn of Spywareinfo.com. Merijn has an entire page devoted to CoolWebSearch and its many variants.
You can download CWShredder by clicking on this link.
Ad-aware now appears to be able to remove this pest as well, you can download Ad-aware here.
How Do I Avoid this Hijacker in the Future? Most of these Homepage Hijackers exploit a known problem with the Java Virtual Machine on your Windows computer. You can read more about this exploit by clicking on the link below.
Flaw in the Microsoft VM Could Enable System Compromise (MS03-011)
http://support.microsoft.com/default.aspx?scid=kb;en-us;816093 Because of this exploit, you should visit the Microsoft Windows Update web site and download all the Critical Updates for your system.