Sounds like a great visit. Nice to hear about a medical professional taking the time to talk through your worries.
Will you read "your best shot"? I haven't actually, but I've heard good things about it.
The measles outbreak in Wales recently was linked to the Wakefield debacle - that's not misinformation.
If it will help you could go over to either Vaccinating on Schedule, or Selective/Delayed to hear stories of vaccinating with no issues, no reactions. Bad reactions...