What is the ruling on accepting money, food, or shelter from family who have haram sources of income?

Islam doesn't ask us to look into the individual aspects of others; rather, that's between them and Allah. So if somebody comes and they're offering you food, for example, or a present, then you don't need to look into where they got that from, how they purchased that and so on. We accept the gift, as the Sunnah of the Prophet was to always accept gifts, even if those gifts came from other faiths.