Your question made me think, so this is what I've come up with. Thank you!
1. My own doctors. They know me as an individual, and they have the expertise.
2. My common sense, life experience, and ability to apply critical thinking and understand myself.
These two things combined usually work well for me, but I might add:
3. Friends and family who have been through something siimilar, particularly if they are not bossy but willing to be a sounding board!
4. Trusted medical information sites like Mayo. My husband was trained as a librarian, and very good at evaluating what is legitimate info.
What I don't use: any thing from media, snake oil sales people, too-good-to-be-true "cures," or anything that is being promoted and sold hard. That includes drug advertisements or goofy advice from friends.
Also, it helps me to not expect to get the perfect information at all times. Medicine is indeed an art as well as a science, and life is full of gray zones. I try to make good decisions while accepting that I'll never have a complete picture.
I like your question because it helps us all think about our own process.
@mir123 Great answer!
One thing I DON'T use is Google, unless for something extremely simple - like showing someone what a tick bite looks like. Google and other search engines use an algorithm that takes the millions (billions?) of most common posts from the internet and winnows them down. What if there aren't millions, or even thousands, of references for what you need?
This week's example - someone close to me was trying to identify a "chicken pox-like" rash that we know is not. Every attempt they made at using Google led to the conclusion that it was mostly likely the "hand, foot, and mouth" virus, but experience told us it was not. Two minutes on scholar.google.com and mayoclinic.org led us to the correct answer - a little known but widespread virus called Molloscum Contagiosum. Who knew?
There you have it - not only "know your source", but "know the limits of the search engine you are using"