> But those don't look like "robots", they look like arms with tools on the end of them.
> I was like, "Big deal! I like to dance. Make a robot that does the dishes."
From these comments, I think you're missing a really huge category of robots - appliances. Why does a dishwasher or laundry machine not qualify as a robot, after all?
I sometimes do call them robots, but you could exclude them on the basis of lack of mobility, or, better yet, lack of decision making. (Although a friend of mine has a laundry dryer with a moisture sensor.)
In a sense, anything with a PID controller or even just a governor could be considered a "robot", or at least "automation", eh?