Please be sure and talk this over with the doc and some other people whose opinions you trust. Not giving a child their shots is a scary thought to me. I recognize you have this right to say no. I still feel bad for the kids who do not have protection from serious childhood illnesses.
I think if you are considering this that you really need to research it, for both sides, both the side for giving them and the side for not. That way you get both sides of the information.
I could not, in any way, feel like a good parent if I did not make sure the kids I am raising did not have every possible step taken to make sure they do not get polio, chicken pox, measles, mumps, and the whole lot of the others. I could not live with myself if they got one of those due to my neglecting to get them to the doc to get vaccinated against them.
Medical research has shown over and over and over the shots are very safe and they do not cause autism or any other illnesses. I think that some parents just want to blame a convenient behavior on what ever is there so they don't have to take responsibility for feeding their kids aspartame, fake fats, artificial additives and coloring, those are the things that are hurting our kids. Not preventing horrible childhood illnesses.
So please, just take your time and research it before you take some other persons stance without really making sure to read the facts. So many moms have been mislead by the celebrities and other people who they think is so smart. They are just moms like us, they make mistakes too.