K.P.
Have you considered speaking to you present pediatrician and telling her what you just told us in this letter? It may be that things can be worked out and you wouldn't have to give up the pedi that you are already comfortable with.
Are you concerned about all vaccines or just certain ones? You really didn't make that clear. Just be as informed as you possibly can make yourself before deciding against them. I am not saying all vaccines are necessary but there are some that are safe and not having them could be catastrophic if you get the disease.