I hope it all goes well, I'm sure it will. She is absolutely beautiful! And I agree that the name doesn't have to sound the same. My friend got a dog from their neighbor that was two years old, and it was named Sissy, but my friend wanted to name her Chicken, and within a week she was answering to Chicken.
But if you are still going for a name that is close to Lulu...Lola sounds similar... Just a suggestion!
Good luck!