My suggestion would be Interfaith Transitional Housing in Dallas. This is a spectacular faith-based organization that is run on completely on donations!!! Contact Jackie at ____@____.com or ###-###-####.
The organization take homeless families off of the street (most of the families that I know of have children). They have strict rules for being in the program: willing to education and training for a job (they provide this), attending counseling, money-management, etc... They provide the families with a furnished apartment, toys, clothes, everything, until they are able to get back on their feet again. I have volunteered there, and have since started donating everything that I don't need there. They take furniture, dishes, clothes, toys, EVERYTHING!!!
I was impressed at what this organization does for the community and it is reassuring that if we ever find ourselves in this situation, I know that we could rely on them. Can't say enough good things about them!!! Also, keep in mind that they do not sell anything. Several times a month, everything that is donated is set out for the families in a "garage-sale" setting. However, they get to browse and pick things for their families and children (but do not have to pay for it). They get it directly, but get to choose for themselves what they would like!!!