Your transplant unit will be the best people to advise you on this. After receiving live vaccine, it is shed out of the body and I was always advised to stay away from live vaccines when I had my transplant. Not sure how you deal with this issue with a little one. You may need to,hold off on the vaccination if it is soon after your transplant. I guess this is the downside of live donation!
In years gone by, when there was not live donation (at least in the UK), your deceased donor kidney came along and you just took it. No time to consider the practicalities! An exciting if nerve-wracking time I am sure