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Definitely talk to your babies doctor about specific concerns, brief description below; Vaccines are how children build immunities. Vaccines trigger the body's immune system to create antibodies (to whatever the vaccine is for) so that when they encounter that illness in real life, it prevents them from getting it because the body can fight it off, or reduces the severity of the illness so they're not as sick for as long and avoid/reduce long term issues. Vaccines also are for what's called herd immunity, where it prevents illnesses from spreading, which not only helps protect everyone who is vaccinated, but especially those who cannot be vaccinated for medical or other reasons. Example of herd immunity: smallpox in North America was completely eliminated through vaccination and quarantine of people infected. Everyone got vaccinated, it couldn't infect anyone else, and it disappeared (died out), and now we are no longer vaccinated for it unless you are travelling to/from countries that still have smallpox.
There's a lot of misinformation about vaccines out there, the best place to get information about them is from your baby's healthcare team. If you are someone who wants to research on your own, make sure you are using reliable sources, like healthcare organizations/peer reviewed studies. Lots of people like to spread misinformation, and make claims like "vaccines cause autism" which has not only been debunked several times, the original person who faked the study has admitted to faking it, and any little amount of research shows autism is genetic and you're born with it (in the case of claiming "vaccines cause autism").
I’d rather vaccinate against horrible diseases and risk some side effects than not vaccinate. Babies don’t have much of an immune system so I wanted to give as much help as I could. But definitely talk to your doctor if you have any specific concerns.
You should be discussing this with your child's doctor. Vaccines are extremely important for children of all ages.