How can I catch the Killer Rabbit of Caerbannog?

Although the other answers both work, I found it inconvenient to transport the rabbit to his cage after he was caught.

I ended up using a mine-cart to pick up my rabbit and transport him to his new home:

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Leading my evil friend to his trap:

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Got him!:

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I then led tracks straight into his new home:

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...and switched the tracks:

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I finally closed off the cage where he sat quietly:

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The Killer Rabbit of Caerbannog still is currently still in his cage, and I can roam about the world without worry. The killer rabbit is also worry free, as Holy Hand Grenades cannot breach his cell.

EDIT:

Apparently forming a secret alliance with passing creepers, the killer rabbit was trying to escape. Luckily I had been forewarned of this uttermost danger and had the time to up the security near his cell:

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