The English name translation of "Chen Jueyu" is the same as Pinyin:

Chen, Jueyu (in English grammar, commas are used to distinguish surnames from first names)

Generally speaking, when introducing yourself, the first name is "Jue Yu" and the last name is "Chen":

Chen Jueyu (no comma is needed when the first name is written before the last name)

If you want to find another homophonic English name, you can consider: Jas, Jessie, Jade, York, Yoel.