I'd need help in translating my name

Hi, I've recently been using this site to try to learn how to speak Russian for my Ukrainian born boyfriend, who unfortunately broke up with me a couple of weeks ago. However, I think this website is wonderful and I still want to learn Russian. I'm writing him a letter and I'd like to sign it with my name translated as close to Russian as I can. My name is Julie. I have found several different variations and I'm not really sure which would be the best to use.
I'd really appreciate any help!

Thank You,
Julie

http://www.freewebs.com/pravit/#ihatethisquestion
Hope this helps. :) Personally, I would use "Джули" in your place.

Hee. I like that the "I hate this question" link has become standard response.

Also, why the heck are you writing him a letter if you're broken up, girl? Let it GO.

her name is julie... I mean, c'mon can't she just write Юля ? i mean, he'd know what she meant, right ?

Yes, she could. At my camp there is a Julie and Julia and their Russian names are both Юля.

Thanks everyone for the suggestions. And thank you for the link also. I know that you can't technically translate a name, but I wanted to get close and I just wasn't sure what to use. He often called me Yulia or Yulichka (which I know isn't appropriate now). Again, there are several different variations that I've found; most often Юлия and the suggested Юля and I don't really know the difference between them.

In answer to the question about me writing him a letter now that we've broken up; I do still care about him and his birthday is next month. I already had his birthday present, so I wanted to give it to him anyway and the "letter" that I was talking about is really more of his birthday card. I wanted to sign my name in Russian because he didn't know that I was trying to learn the language and I was going to surprise him.

Thanks again,
Julie

Then Юля is better because it's more informal, it's the way you call a friend, a classmate and so on.

Okay, thanks!