Either one is fine, depending on what you mean.

And what is the difference? What does it mean?

Something that can affect you personally could be the high price of gasoline, inflation, a rent increase, genetically modified food, etc.
Things that may concern you don't have to affect you personally: the problem of undocumented aliens, the recent explosion in China (or today's explosion in Bangkok), an upcoming election, etc.

affects me: hat Auswirkungen auf mich persönlich

concerns me: beschäftigt mich

Then borh is not exactly what I want to say. I rather mean things that happen in somebody's personal life. It could be relationship issues, psychological articles about how to stay happy as a 35-year-old single ;), articles about certain health problems & beauty tips. Which term do I have use in this case?

Then borh is not exactly what I want to say. What's "borh"? And when you say "in somebody's personal life," do you mean your own life? If so, I'd say "affect." Or maybe better: ... that relate to me personally."

borh = typo for both (NB: both are...)

Here you really mean "Neither is exactly what I mean/want to say".

Meinst du vielleicht eher Themen, die dich betroffen machen, die dich berühren?

Vielleicht eher Dinge, die mich persönlich interessieren, weil sie mit meinem eigenen Leben zu tun haben.

Also eher Dinge, die mich "angehen".