As a physician and a mother of 2, I can only say that I and EVERY doctor I have met who has children has vaccinated their children, so we are practicing what we preach. We are convinced by the vast swathes of data produced by meta-analysis (where the results of multiple studies are pooled and analysed) by independent (i.e. non-Pharma funded) organisations such as the Cochrane reviews (UK institute set up to promote the "new" science of evidence based medicine), plus an awareness of the appalling true story behind the researcher who first publicised the idea that there might be a link between vaccines and autism (TLDR, the sample size was very small, and many of these did not fulfil the criteria for the disease he was studying, the unethical methods of recruiting, and mostly, the complete failure to disclose several conflicts of interest: that he had received large sums of money prior to the research while advising lawyers for parents who believed their children had been damaged, and that he had patented his own vaccine, which would have made a lot of money for him had people stopped using MMR. He was subsequently struck off by the GMC (body that licences doctors to practice in the UK) for, among other things, performing clinically unnecessary procedures such as lumbar punctures and colonoscopy on children.
http://www.thelancet.com/journals/lancet/article/PIIS0140-6736(97)11096-0/abstract
The editorial related to the extraction stated :"Following the judgment of the UK General Medical Council's Fitness to Practise Panel on Jan 28, 2010, it has become clear that several elements of the 1998 paper by Wakefield
et al are incorrect, contrary to the findings of an earlier investigation. In particular, the claims in the original paper that children were "consecutively referred" and that investigations were "approved" by the local ethics committee have been proven to be false. Therefore we fully retract this paper from the published record."
I've picked some US reviews that support the safety of vaccines; Note that in no cases do they say that they are 100% safe, and no medical intervention would be able to claim that. It's a matter of risk vs benefit, and in the vast majority of cases, the benefit from the vaccine to the child and the community hugely outweigh the risk. The diseases themselves carry a small, but catastrophic risk of death or disability, that that risk is many times greater than the risk from vaccination.
http://www.ncbi.nlm.nih.gov/pubmed/24814559 - meta-analysis of over 1.25 million children
http://www.iom.edu/reports/2004/immunization-safety-review-vaccines-and-autism.aspx
http://pediatrics.aappublications.org/content/109/1/124.full
The British Royal Colleges have been mentioned earlier. I am a member of the Royal College of Physicians and the only link I can find for their involvement with vaccine injury is a historical involvement with a compensation scheme for children who have suffered adverse events linked to vaccination (which no sensible doctor would deny is a possibility), but I can find no document that supports the wider contentions held by current vaccine opponents, although I would be happy to be corrected.
It's clearly a very emotive subject though, and I would close by referencing my opening remark, that it is exceptional to find a doctor's child unvaccinated, because we have weighed the evidence and decided that the balance of risks and benefits favours vaccines.