Discovering that our solar system has many more planets than we ever expected, and that most of them are ice dwarfs rather than like Earth and the other rocky terrestrials, is just another step in the revolution in viewpoint that removed the Earth from the center of the physical universe and makes Earth all the more special.
In science, we take large numbers of disparate facts and reduce them to see patterns. We use the patterns to reduce the amount of information. It's the reason we name species and genera and families in biology. It's also the reason we have names for certain types of geological features and so on in other fields.
It shouldn't be so difficult to determine what a planet is. When you're watching a science fiction show like 'Star Trek' and they show up at some object in space and turn on the viewfinder, the audience and the people in the show know immediately whether it's a planet or a star or a comet or an asteroid.