The quest will start with a piece of mail you'll receive from a concerned farmer. You will then speak to a Town Crier to assume the role of a chicken and run yourself from Gramsfoot to Glan Vraig in the Ettenmoors. Once you've completed this task, you'll earn the esteemed title of "Fool". That's not all though. The day is sure to be filled with various other tricks, so be aware!
[UPDATE: Seems they've closed the quest, according to lotro.com: Due to the load on our servers caused by the April Fool's chicken session play, we are disabling the quest. Please note if you receive a mail, you cannot turn it in with the quest disabled. We hope you had fun while it was open, and we're sorry the quest bawked!]