I found the informational balloon tips that appear on my task bar to be very informative - initially, but become very annoying over time.

You can easily disable these network connection balloons in two ways.
The first and easiest is by disabling the Show icon in the notification area when connected option. To hide the icon and disable the newtork connection balloons, simply open your Network Connections, edit the properties for the network adapter you desire, and uncheck the Show icon in the notification area when connected option.
However, I personally like having the icons appear on the task bar, but the balloons have become very annoying. To allow your network icons to appear without the balloons, you can do the following.
These instructions are for Windows XP
- Run the REGEDIT.EXE from the Start > Run dialog.
- Locate the following registry folder:
HKEY_CURRENT_USER\Software\Microsoft\Windows\CurrentVersion\Explorer\Advanced
- Create a DWORD value called "EnableBalloonTips". The default value will be zero. Leave the value as zero.
- Reboot your computer for this change to take effect.
This will disable all balloon tips on your task bar.