Do you really love him as he is?
Or do you love the fictitious man that he created with his lies and deceptions. If he's lied all these years about his wife and children, what else has he lied or kept hidden from you?
Loving this man with all his flaws is one thing. Loving the image of this man that's been falsely created in your head through his lies and secrets is another.
OP, you deserve a man who has all of your married boyfriend's good points as well as having the good point of being basically honest with you, because he has nothing he wants to hide from you. Finding such a man will not be easy, but the process of finding him should be enjoyable enough. And you will find him, sooner or later if you really set your mind to it.