Unfortunately, the "all vaccines cause autism" crowd is unusually vocal, and impossible to dissuade with, you know, actual *facts*. And the link was actually supposedly only between the MMR vaccine (measles, mumps, rubella) and autism. The so called "research" into this was debunked pretty thoroughly, to the point that the Lancet actually retracted the study it had published in '98 after reviewing the so called scientist behind the research was, shall we say, a little *sloppy* with his methods, and there's even now a new report that states his research was outright fraudulent. Little more info here: http://www.washingtonpost.com/wp-dyn/content/article/2011/01/10/AR2011011005017.html
All vaccines carry risk. This is true. However, as has been evidenced by the recent whooping cough outbreak here in the PNW, it's arguable that the risk is significantly outweighed by the reward. There have been over 3,000 cases of whooping cough in Washington state alone in the last few months. Some have been fatal. But there is a vaccine against it. Polio has been nearly eradicated, if not completely so. Other diseases are nearly unheard of today, due to vaccinations. And not just childhood diseases. How many cases of tetanus do we hear about here in the US?
We don't have kids yet, but likely will follow most, if not all of the "recommended" schedule. Not only that, but we're heading to Brazil next month, and prior to going we're both getting yellow fever vaccines, as well as a couple of other preventative (typhoid, possibly Hep A for both of us, and Hep B for SWMBO - I already have had the whole Hep B series due to my work) vaccines. There are risks with all of these vaccines. The travel doc warned us that some people do develop symptoms with the yellow fever vaccine, and some whose immune system is weaker than others have developed the full disease, and of course some of those have died. But I'd rather take the small chance of even developing some symptoms (flu-like symptoms for about a week) than getting snacked on by a mosquito during our trip and developing the full on disease.
TL;DR: MMR/autism link debunked pretty thoroughly. Vaccines benefit outweighs risk. :)