Maybell, Given what you have written about both your X and his new girlfriend - it doesn't sound like their relationship has much of a chance regardless of whether or not he finds out about her extracurricular activities. Neither one of them sounds terribly stable. Most likely there will be a blow up sooner or later. The house is his problem. Unfortunately your kids will probably have to get used to having people come and go from their lives - and you can help them with that.