There's a bit of a thread below, but I'll just reply here.
I was a manager for a few years. People vary. Some people don't want to talk about their personal lives, and having their managers try to drag it into a work scenario can be anywhere from annoying to infuriating. Some people don't want another therapist. Sometimes work for those people is therapy, is a kind of escape.
My advice: don't ask about your reports' personal lives at all, unless they are brimming with it. Keep a professional distance. Don't try to become close friends if your relationship starts off as report/manager. You can tell them up front a version of this that is not standoffish. "I'm your work manager. If you are having any out-of-work issues you want to talk about, you can, but don't feel obligated, please. I am going to respect your privacy and not proactively ask." Professionalism is the default. They will respect that.
I was a manager for a few years. People vary. Some people don't want to talk about their personal lives, and having their managers try to drag it into a work scenario can be anywhere from annoying to infuriating. Some people don't want another therapist. Sometimes work for those people is therapy, is a kind of escape.
My advice: don't ask about your reports' personal lives at all, unless they are brimming with it. Keep a professional distance. Don't try to become close friends if your relationship starts off as report/manager. You can tell them up front a version of this that is not standoffish. "I'm your work manager. If you are having any out-of-work issues you want to talk about, you can, but don't feel obligated, please. I am going to respect your privacy and not proactively ask." Professionalism is the default. They will respect that.
Resist the urge to be a terrible psychologist.
But, of course, do watch for warning signs.