Again, you should talk to a lawyer and seek legal advice before taking any action in your dispute.  You have to be a resident of the State of Nebraska for more than one year before you can file for divorce, but you can file for a legal separation as soon as you are living here (and get your divorce later).  Generally speaking, no matter what you file, your children must live in Nebraska for six months before a court here has jurisdiction over custody and parenting issues.  Once you file for divorce and obtain jurisdiction over your spouse, there is a 60 day waiting period before a divorce can be granted.