I scored this topless (

in case image embedding doesn't work
Then, my concern was - while opening out the drawer/tray to clean (tray would be at the very top of the drawer btw) a bird could get stuck behind it somehow and it's a decently tall drawer.
The other option I suppose is to add a top to the nightstand and build a cage with its own tray (similar to this one: http://www.finchforum.com/viewtopic.php?f=2&t=12140) on top of it. Building a working drawer might be pushing my woodworking skills a bit, but I'm fairly cavalier and can generally figure stuff out.
I initially plan to house a pair of zebras to get my toes wet.