Unless you commit domestic violence against him (or he falsely claims you did) and he obtains a Domestic Violence Protection Order against you, he cannot legally "kick you out of the house." While a divorce from bed and board action is another legal method to try and have you evicted from the home, even if one is granted some judges will not order you to leave.
You have many issues here including child custody, child support, postseparation support, alimony, attorney fees, equitable distribution, etc. and I strongly suggest you consult with a local attorney who routinely practices family law.
Assuming he is of average physical capabilities, he can most likely physically kick you out but not legally. The only legal ways for him to get you out of the marital home if you don't want to leave is for him to file what is known as a Divorce from Bed and Board and / or to take every legal means he can to make life in the marital home as absolutely miserable for you as possible so that you choose to move out on your own. The better option is for the both of you to work together reasonably and fairly to divide your property, make arrangements for child support / custody / visitation and have that agreement drafted into a formal written Separation Agreement.
Your husband could file a divorce from bed and board with a North Carolina court and ask that he be allowed to possess the marital home, at least temporarily. Other than that, he cannot legally make you leave the marital home.
I agree with both answers above. You should get your own attorney to advise you and protect you.
A well drafted separation agreement may be a means to resolve all the issues and avoid a costly and protracted litigation.