Hep B seems like a no-brainer to me.
I delayed enough that they got no shots when they were small babies. My other guideline was that they never get more than one shot at a time because however weak the safety testing already is, the vaccines are definitely not tested together and it seemed clear to me that each one is a stress on those little bodies. I had a fair amount of resistance in my family, and in retrospect I wish I had held my ground more.
But the kids are good :)
You can read the vaccine inserts themselves. There's a lot in there that I think most pediatricians haven't read.
These seem to be the themes of researchers who buck the pharma narrative: the diseases were already on a sharp downward trajectory before the introduction of each vaccine; many of the illnesses have been rebranded (so we still have something that we would call polio but now it is diagnosed differently); the safety testing is poor, with studies designed very badly; some of the adjuvants are neurotoxins; and there are very few childhood vaccines that have had a true placebo control.
Personally I think the autism issue is a bit of a red herring. I doubt that a particular shot "causes" autism; more that each one is a systemic stress that each child will handle differently. When it's more than the body can deal with, you'll see a range of symptoms depending on the physiology of that particular child.
I have heard impassioned and well-meaning advocates make a decent general case for vaccinations, though I haven't yet heard them rebut some of the themes above. Their main argument is that the diseases are frightening (true), with the assumption that vaccinating against them protects kids (which may not be true).
That's more than you asked for! I hope it's useful to you.
And congratulations!! Babies are the best 🥰