If you have good prenatal care and mom does not have Hep B there is no rush to get it. It can easily be given in the teen years. The only caveat to that is almost all of the combo shots have Hep B as one of their components so if you opt out of hep B your infant ends up getting more than the usual number of physical pokes.
Vitamin K as mentioned - it is foolish to allow a risk of a brain bleed because you are scared of a shot of vitamins.
DTaP- by far the most important for infants mainly for the whooping cough protection. Whooping cough still spreads yearly just in fairly small numbers but it is very dangerous for infants and the vaccine is old and effective.
PCV- Strep pneumo is a REALLY bad player with ear, sinus, lung, blood, brain infections. The vaccine is safe and works very well. Since starting it in 1999 there has been a dramatic decline in pneumonia requiring surgery and chest tubes and brain infections. It has radically changed our approach to a febrile infant as this was the big baddie until the early 2000s.
Hib- a horrible bacteria that likes to infect the brain and epiglottis. Very old and effective vaccine. In 25 years I have never seen or even heard of a Hib infection. Does that mean the risk is low enough to not use an old and proven vaccine? that is up to you but my kids sure as hell got it.
Polio- old effective vaccine but the infection itself is very rare in the USA. Still I like my kids being able to walk so they got this one.
Rota- oral vaccine with very rare bloody stool side effect. You don't want to have to deal with this in your infant but the worst case scenario is an ER visit for IV fluids. Pick your poison. The vaccine reduced gastro hospital stays 80% so really good.
Those are all you need to worry about until the first birth day. Generally I don't encourage flu/COVID as the vaccines simply don't work very well. In higher risk populations I encourage flu.
Note that this is all my opinion after raising my 2 kids and being in primary care pediatrics since 1999.
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