Futurity -- I'm glad you asked for the MMR-takers to reply! I always feel like we don't get heard enough, too.
I fully support anybody who wants single jabs; I wanted them, too, but my HV insisted that she wouldn't have liability protection if she administered them, and I wasn't bothered enough to travel to London to get the jabs.
My backup plan was to get the MMR for kids at 18 months old; my gut feeling was that this 1) gave his immune system additional time to mature, and that 2) it was more likely that the vacc would take; ie, maternal antibodies would be gone. Now I hear (on the Internet, so not a reliable source!) that 18 months is becoming the standard age in the USA for MMR, for precisely reason 2).
In the event, toddler1 had many colds and I began to think there would never be an illness-free day to get MMR, so I took him at 16 months when he happened to be well. I expect it really will be 18 months with toddler2, though.
What I personally believe is... The anecdotal evidence is compelling... but I am totally unconvinced otherwise about the proposed autism link. None of the epidemiological studies can prove a link. To me it seems like the risk of severe brain damage from catching measles must be a lot higher than any possible risk of autism from MMR.