Bunny Hood

The Bunny Hood is a vanity item equipped on the Social Helmet Slot. It can be gained by killing Corrupt Bunnies. It has a drop rate of 1.33% (1:75 chance).]

Farming
You could get Bunny Statue and some wiring to spawn some corrupted bunny's only in Blood Moon where you could spawn unlimited corrupted bunny because they don't count as normal bunnies so they don't have a limit. You would need Vilethorn or a weapon that can go through walls to be effective.

Trivia
Just like the Hero's outfit. The Bunny Hood is most likely a vanity item that has some connection to The Legend of Zelda. In Majora's Mask, the Bunny Hood was one of the masks that you find. And although they look very different, the name is exactly the same. The Bunny Hood occurs also in The Legend of Zelda: The Ocarina of Time. And has a rather large amount of story connected to it, making it even more possible that the similar names are not a coincidence, as it is quite clear that the Terraria Developers like The Legend of Zelda.