Hello,
The English name of "Zhu Jing" is:
Zhu, Jing (in English grammar, when the surname is preceded by a comma, Difference)
Generally, when introducing yourself, you first say your first name "Jing" and then your last name "Zhu":
Jing Zhu (no comma is needed if the first name is written before the last name)
If you want to choose another English name with homophonic sounds, you can consider: Jean (婧), Gin (婧), Gina, Chita