For the most part, there is no foundation in facts to the claims that proven vaccines cause autism, or non-live vaccines (majority on the market) cause infection. Even if there were rare instances of such side effects, the benefits of vaccination would nevertheless often outweigh by far the risks. Those who claim otherwise simply lack the intellectual capacity and critical thinking skills to differentiate correlation from causation.
Keywords here are “for the most part". Some vaccines, we wildly oppose, including the COVID-19 Pfizer and Moderna vaccines (see: COVID Vaccine an Existential Threat).
This being said, while we are usually pro-vaccine. As we pointed out, there are exceptions, and it comes down to a risks/benefits analysis (see: Vaccines or Not), we are also tribal (and thus libertarian to some extent), so we do not believe anyone should be forced to be vaccinated. Your body, your choice.