If you use the "kick out" when you move, by using the computer, it will not take from your household money, but if you choose a house, they will use the money for the house. If you have the money, then you can use it, I just usually kick them out and then follow them to see where they go. They will have zero funds though, so if you want to play them, you might want to go the house they moved into and get them a job.