I'm really sorry you're going through this. That's awful, and I wouldn't want these people to stay in my house either. In most cases you have to give certain notice, such as a 7-day notice, or a month's notice, or a 2-day notice.
You can't kick them out right now because they can sue you for wrongful eviction. Once you have someone in your house or apartment, it's difficult to get them out, so you'll know for next time. But in your state, if there are lease violations -- there's no lease here but destruction of property is a violation ---then you don't have to give notice and can take steps to evict right away.
A landlord has the right to evict a tenant who damages the rental property. Willful or intentional destruction of the leased premises could also result in a misdemeanor charge in North Carolina. (N.C. Gen. Stat. § 42-11.)
A landlord is not legally obligated to give a tenant an opportunity to cure (fix) a lease violation of damage before starting eviction proceedings.There are no minimum notice requirements. Unless the lease requires notice and an opportunity to cure, the landlord can file eviction papers upon learning of a violation.
What you need to do is either hire a landlord-tenant attorney or file these papers yourself, which you can do, in your local court which handles landlord-tenant cases. If you want me to find an attorney for you I'll be happy to do so. If you need help with the court, let me know that too. They will give you a form, or you can look online to see if they have eviction forms for NC for your county for damage and destruction of property.
I know you want to get them out right away, but you can't because you can be sued and fined. However, you can go straight to an eviction proceeding and that should be pretty quick.