Hi,
I am a .NET developer based in Australia.
I can write you a VB.NET application that contains an icon that resides in the System tray as per your image. The icon can be of your choosing.
A single (or double) click can open the URL of your choice using either a specific browser, or the systems default browser. The website URL can be stored in the registry so you can easily deploy changes if required.
Balloon notes/tool tips are possible. And i will supply the installation package as an msi file.
Check my feedback, i provide quality solutions.
Look forward to hearing from you,
Caleb.