I like Jane. It's very classical. When you say it with the right attitude you find it has a beautiful sound to it. It's the type of name that can go with just about any middle name, though I personally would not pair it with Grace.
Jane Alexandra, Jane Elizabeth, Jane Mary, Jane Marie, Jane Marie Dawn, Jane Thomasina, Jane Veronica, Jane Ellen, Jane Andrea ....
Julia - I like Julie much better.
Bridget - not at all.