These threads tend to kick off and I will try not to get drawn in if so, but just to add my experience. I did find the whole thing worrying as we have ASD in the extended family, but I read up on the science as closely as I could and checked out all the trials and tests, which are extensive.
As far as I could make out, having quite a good level of scientific understanding and education, it is generally safe but there are some who will react badly to it. It is a small minority and in general I concluded it is safer to have it than to risk the diseases it vaccinates against.
I could not find any scientific evidence for a link with ASD. Even though some people will tell you, and completely believe, that their child developed ASD as a result of MMR, that isn't scientific evidence - as they could have developed it anyway (and often do around that age). Evidence can only be gathered over a large scale and when they have done large-scale studies they haven't found a link.
That doesn't mean of course that there is no link, it just means that the strongest scientific evidence we have at this time doesn't show a link. But people often argue (I've seen it many times on here) that there is a link, using very limited, small-scale and non-scientific "evidence" as if it were just as good as a proper big science study - it isn't. That is one thing that has made me distrust those who claim a link - they often don't seem to understand or be willing to apply scientific process and logic.
Sooo, after getting to grips with all this and as open-mindedly as I could, we decided to go ahead with the programme as advised (though we made sure we did it only when DS was healthy, not with a cold etc)
He was fine, the only reaction was that he was tired and slept a bit longer immediately after the jabs.
Do also bear in mind that if you choose not to vaccinate you are laying your child open to some potentially very nasty diseases, and also even if they are not affected badly, you are contributing to the risk to others such as tiny unvaccinated babies by reducing immunity in the general population - that's why measles has made a comeback. In a way that made me want to vax more because measles is much more prevalent now, and a baby of a friend got it at 10 months.
Single jabs are one option, but I'm always a bit puzzled by this as Wakefield's original study pinpointed measles in the gut as being the issue - so why would he suggest doing it singly could make any difference? However. believing as I do that the vax are on balance a good idea, I suppose doing it singly is better than not doing it (though arguably more traumatic for your child).