I can't speak highly enough of Cord Blood Registry. I have used them for both of my sons. Now, I don't have any family history, but I am a nurse and I know the things that can happen, and for me personally I didn't want to know that if one of my son's got something, then I could have possibly cured them by one decision. To me it was a no brainer, but not everyone can financially do it. And the process is EASY, really.
I can answer any specific questions you have about it related to cost and the process. I am pretty familiar and signed up to be one of their "CBR Moms" who are big supporters. I also have a contact person who I go through if you would like her name and she can send you a packet of information.
And I am not sure about the post before me about not being able to use it for that child. I know with CBR, my sons can use each of their own cord blood should they need it. I also believe that mom's are a 100% match should we need it, dad's 25%, and siblings 50%. I will tell you that as of now it is one time use. Research is being done to allow it to go further. And no one else has access to your cord blood.
Please let me know if you want any further information. I highly recommend it!!! Good luck with your baby!!!