I don't think we should go out of our way, however if it happens in the family it is better to be truthful about it and not to hide it away from the child. Also, it could be helpful to talk with the child about the natural cycle of life so that the first experience is not so close to them. Just introducing the cycle of nature, that things age and die, and helping them to see this in plant life, etc. This can help them see that this is natural, and if it happens in the family to talk about it, not hide it away but try to be open about it. This will help the child to see that it is part of life - aging, growth, sickness and death.
For instance, the story is that the Buddha's father tried to take all the dead leaves off and remove all the dead flowers so as a child, he wouldn't see this natural cycle in nature. So seeing it in the natural cycle of nature is very helpful. Sometimes people have flowers in vases and as soon as they start to wilt they get rid of them. But to actually go through the cycle and keep the dead flowers and not see them as ugly, could be helpful. I have some dead flowers in my interview room at the moment. I was given them at the beginning of the retreat. They bloomed and now they are starting to wilt. Normally when they get to that stage people throw them out, but I have resistance to throwing them out as it is helpful to learn how to reflect that just like these flowers, so is my own body of this nature. So teaching children to see it in nature and not just get rid of all signs of it may help them to be more accepting of it when it comes closer to them. In Thailand they are very open with it and they take little children up to see dead bodies in funerals. Perhaps it is a little bit easier there because of the teachings but we could still try to be a little bit more open to it by not just wanting beauty around us, for example with the flowers.