I would send the wife and kids first before going myself.
I know that for me it would depend a lot on circumstances. Is the current refugee camp safe? Is the trip overseas that dangerous? Can my family handle it there, maybe caring for our grandparents while being protected by our parents? Then I would probably, with my heart broken, go alone to safeguard a place to live for them. I know I would be the kind who's naive enough to play by the books instead of just showing up in another country. But if my family staying would put them in danger, I'd definitely take them with me.
But I guess my point is that the amount of young males among the refugees can be explained by them going to secure a place for their entire family, and not willing to risk taking kids and grandparents on such a dangerous trip.
If said young male gets to the country on the other side they are probably the most employable too.
I realize that life in Germany is more pleasant than life in a refugee camp in Turkey (or has been, historically... that seems to be changing), but that's an entirely different thing.