Other people are saying that the reason there's more deaths in Italy than other countries is because in Italy, there's sharing living spaces by the elderly and the young. An old folks home (I suppose that's what is meant by "nursing home") is kinda the definition of segregating the elderly. Sounds like that doesn't help - because even segregated living environments have enough interliving. Old folk need to get food and medicine and it's not retired people in the shops.

Yes, retirement home. The idea is problematic (wishful thinking actually) because you can't guarantee that people providing care there aren't infected. They might be asymptomatic or incubating. You can test them, but I don't think you can do that every day and then that such testing equals perfect filtering. Once it's inside isolation simply doesn't work.