I didn't say I differ from typical people. Everybody could see these signs.
But if you want: I am a trained mathematician, so I am trained in identifying the root assumptions of problems.
I am aware of the typical ways to lie with statistics. There are books about that, everybody can and SHOULD read those. For example choosing certain time intervals, making charts not start from zero to inflate a trend, picking the aspect that best supports your claim (for example, either use relative growth or absolute growth when describing an issue - one more murder in a town can mean "crime incidents increased by one" or "crime incidents increased by 100%"). Playing with proportions, like drawing circles for comparisons and using diameter (instead of area) to correspond to the values you want to show. And so on - there are many possibilities, and they are all being used.
So, for example, if I see a chart depicting some trend over a period of time, my immediate instinct is to ask "what would it look like if the chart would start one year earlier?".
Also, I think fake news might have become a topic these days because people also get their information from social media. They often know about aspects that an article doesn't mention, so they are more often able to identify articles as fake news.
Overall, there is just one thing you have to do: try remain skeptic at all times. "Bend over backwards" as Feynman put it to disprove your own assumptions.
Nothing of that is specific to me, and it is not complicated. You just have to be willing to challenge your assumptions.
For starters, I would recommend reading those books on how to lie with statistics, and your essential Feynman. And get your news from multiple sources and compare them.