My dude. You just got rocked, and it's going to take you a long time to recover. Do your future self, and kids a favor, get therapy, and lawyer up. This is going to be one of the biggest decisions of your life, and not caring is not an option. Have the lawyer give you your options, reach out to someone close to lean on. If you can't do it for yourself, do it for your kids. There's no shame in this... She fucked up... She hurt you...

Also, collect evidence. Take time off of work if you can... You got this.