You know, that might be an appropriate response on your part.
Your H has shown himself to be a repeat adulterer. He started cheating on you only seven years into the relationship. He hasn't put the real effort needed into saving the marriage, and is just rushing into the high of a new relationship rather than facing his own demons.
I wouldn't be surprised if you found out the cheating went back even further than you know.
The bottom line is, he has a LONG way to go before he is someone you can trust to let him back into your life. He might make those changes some day, or he might have a fatal character flaw that prevents him from ever being a faithful husband.
If you want to leave the door open for the possibility of reconciliation if he changes in the future, you certainly may. But right now your focus needs to be on YOUR life and your kids.
Work on yourself...you'll be a happier healthier person for it. Show your kids an example of resilience and strength. See an attorney and figure out your financial rights (if H has a job right now, you might want to file so you don't get stuck paying him spousal support. Explore all the angles with a good divorce attorney even if you're not sure you want to file yet. You need to protect your finances from him.
Change is scary but not always bad. This can be an amazing growth opportunity if you embrace it.
