That strainer cup is a good idea! Might have a look for something similar.
@Nightblade:
My apologies if I came across as dismissive or abrupt; I didn't mean to write such a defensive sounding post. It may have been the 'damned teapot' remark, which was actually unconnected with your post -- I was just implying that I didn't want the hassle of an entire teapot at work!