When I was told that I need to consider doing a CVS, I was also told that there were 2 DR's that are the only ones that would be doing the procedure, and due to where the location of the placenta (down low) and that an internal CVS would need to be done, I was told that the head DR of the feotal Maternal unit is the only one that does the internal CVS's, and that he only did them on a certain day of the week, which for me was the next day. I was also told that he had done hundreds of the CVS's. He was very qualified. I would assume that you would be told who waqs going to do the cvs, but i would ask how qualified they are, such as how experienced they are at doing the procedure. You would probably find that most private DR's also work in the public hospitals.