If you don't use the Recycle Bin to store deleted files, you can get rid of its desktop icon all together.
Run Regedit using the run command 'regedit' and go to:
HKEY_LOCAL_MACHINE/SOFTWARE/Microsoft/Windows/
CurrentVersion/explorer/Desktop/NameSpace
Click on the "Recycle Bin" string in the right hand pane. Hit Del and click OK. From now onwards recycle bin will not be shown even in the desktop properties window.
HOW TO RENAME THE RECYCLE BIN
This is how to change the name of recycle bin in windows XP. It is not possible to rename Recycle Bin simply as we do on a file folder. To change the name of theRecycle Bin desktop icon, open Regedit and go to:
HKEY_CLASSES_ROOT/CLSID/{645FF040-5081-101B-9F08-00AA002F954E}
and change the name "Recycle Bin" to whatever you want (don't type any quotes).