The first thing I would suggest is that you find a good doctor, that you trust and that will pay you the respect of listening to your concerns and discussing things calmly, and fully, without pressure.

You will need to decide which vaccines you think are important, which you want to delay further and which you think are a waste of time.
I know many people who get MMR but think the Chicken Pox vax is ridiculous, so never get it, for example.
I would suggest that this will mean looking at what the vaccines are for, the symptoms of the illness, the possible effects of the illnesses if he gets them, possible side effects of the vaccine and taking into account their ingredients and any allergies or family history you have.

Once you know what you want, you can discuss with your doctor how to go about getting them done, you could do one lot a week or so, but this will depend on what vaccines are mixed these days - you need to get Whooping Cough and Tetanus together for example.
You don't have to get any done, you can get some and not others, but if you delay or don't want them, then you will find it easiest to have the Conscientious Objectors form signed and ready to use, as you will need to lodge it with CL and use it with schools and day cares, etc, in place of a full vaccination record.

Good Luck