What's the difference between 保育院 and 孤儿院?
孤儿院 sounds more straightforward to me while 保育院 seems a more considerate name. 孤儿院 is much more frequent in casual talk, at least just for me, it's not common to use 保育院 in my dialect. I think the recent usage of 保育院 might be a protection of children. I didn't look up in a dictionary or any other reference. Literally, 孤儿院 implies the children have lost their parents, which in reality that might not be the case. 保育院 doesn't have that implication. Chances are the children still have their parents, but for some reason, the custodies are taken over. 

Anyway, I'll vote for 保育院, that's definitely a better name. It's safer to use 保育院, especially in formal situations.