Yeah, the way a lot of the world handles death is just criminal.
If you keep him at home, he's liable to be incredibly miserable and/or keep trying to kill himself. And exposing the kids to that isn't good.
Dumping him somewhere unpleasant to die slowly may shield the kids, but is still rotten for him.
I would suggest having a serious talk with him when he's in a stable state of mind about his options. Find out if he really wants to be done now. If he doesn't, he's got to stop traumatizing people.
If he does, work on helping him find a way to do it. Make sure it is as painless as possible for him, doesn't traumatize others, and protects you from any legal repercussions. And, of course, you and the wife have to be in total agreement on what goes on.
Maybe help him get what he needs to do it himself. Maybe take him to a more civilized country where they allow euthanasia.
Try to get him to put whatever (legal/financial) affairs in order that need to be done first, if any. Make that a condition of your assistance if you have to.
Good luck.
Slow, agonizing deaths can be...agonizing.