You already have a name. A nice one, by the way. Why do you need another one?

How about Jenny? Jenny is a much better sounding name, but I suppose that's up to you to decide. :)

jinlee

I think your name is fine the way it is...but 'Jinny' is adorable if you wanted to use that.

Though Jinny is a nice name, I have to agree with those who say keep your name Jin Lee. It's a beautiful name and, at least for English speakers, it's not difficult to pronounce. I think people should only take an "English name" if their names sound too much like something obscene or funny in English and they want to avoid having to constantly explain it or correct others' pronunciation of it.