Hello Kerry,
I have been to Cuidad Juarez twice, both for immigration purposes for my family members. I have to tell you that even if someone tells you it is safe, I am sorry to say it is not. I say don't go there and choose a different location to have your procedure. The last time my husband and I went there we drove in. We ended up taking a taxi because it is really hard to find your way around there and also hard to trust people. The last taxi driver we had before we left had said they had 12 dead bodies the night before laying on the side of the road lined up next to each other right next to the border. It is extremely dangerous to go out after dark. Althought other people might not have a bad experience, I say don't put yourself in that unless you have too. They wouldn't hesitate to kill an American over there. You have other options as far as traveling to Mexico and if I was to choose I would rather go to Tijuana. I have been there multiple times and its pretty safe. Just don't talk to people walking in the street or beggars and you won't have any problem. Also, I don't know if you know this or not but any kind of travel to mexico now requires a passport as well so make sure if you go there that you have one or you may not be able to return home. Good luck and I hope I didn't scare you but always safety first.