you can add the recycle bin to the favorites list in explorer (left hand side of the window),
if you can install programs ,(maybe not as it is a work computer) then you could install stardock fences ,which hides everything on your desktop ,unless you allow it through the fence,
then you just double click the desktop to show everything or hide it all.
trouble with fences is that i used to be methodical at moving crap off my desktop now its hidden so i've become lazy .every now and then i have a clean up.