Detail about lamb sacrifice

I was listening to a homily and here is what the priest said: > "You would travel with your family to Jerusalem and you would have > either brought a lamb or you would have acquired a lamb and what you > do is live with that lamb in your home, the lamb would not leave your > house, the lamb had to be good, spotless, male, unblemished; **the lamb > would live in your house, typically eating from your table for one > week**. Why? So that you would begin to love the lamb, so that this is not > just some anonymous sacrifice..." My issue is about the lamb *"eating from your table"* part of that preaching. I understand that the priest was trying to make a point and the homily was great. I can take that it might be possible that, in Jewish tradition, an animal might be able to stay inside a house temporarily. However, I understand that Jewish people were obsessed with purity and it just seems fair to believe that having an animal eat from your table might have been deemed as *improper*. So my questions are: 1. Is it possible that Jewish people would keep a lamb inside their house, have them eat from their table, during one week prior to sacrifice? 2. Are there any reliable resources that support or correct this assertion?