Help please

My husband can’t be 100% loyal. He is looking at craigslist for transgender and bisexual people. We have two kids. I know he loves me but he struggles with just being curious. I don’t know what to do. I am not okay with him searching for these things even though he says he would never act on them. He allows for that temptation to be there. I know I am not perfect but I run from temptation.... I don’t go looking for it. He says he wants to change but this is just the tippy top of a mountain of things he has done wrong.... I don’t want to be a statistic and get a divorce but I deserve someone who is loyal and loves me and our family and would honor us not disgrace us. Help.