Use the word thither when you need a colorful way to say "over there." For example, you might point across the street and say, "Let's go thither, to the ice cream shop."
It's too bad this adverb has fallen from fashion because it is so much fun (for native speakers, anyway) to pronounce. Thither means, in essence, "to that place," although these days its territory is pretty much taken over by there, just as its companions hither and whither have been replaced by here and where. The original version of thither was the Germanic thæder, and it's related to other th words like that and the.