If you are married, you have equal rights. If you were not married, you have primary custody and the right to claim residency for school purposes until a court rules otherwise. Since you have a court date coming up quickly, you need to be sure to address this with the Judge and have the Judge decide which school they attend. Make sure you do your research as to which school is better.
Responses are for general information purposes only, and are based on the extremely limited facts given. A consultation with an attorney experienced in the area of law(s) indicated in the question is highly recommended. Information and advice given here should not be relied upon for any final action or decision, as the information is limited by its nature to the question asked and the fact(s) presented in that question. THIS RESPONSE DOES NOT CREATE AN ATTORNEY/CLIENT RELATIONSHIP, particularly considering that the names of the parties are unknown.
Apparently you are already before a court. If you haven't already, you should request a referral to the Family Mediation Center for mandatory mediation of the custody issues at the CMC. Absent a finding of unfitness, the courts generally award joint physical custody. If your living conditions are temporary, joint physical should be appropriate. School is a joint legal issue. You both now have joint legal custody of the kids. If public school, the courts generally let the parent with the majority of school days enroll in his/her zone. If equal sharing, the better school presented will control.
The two previous answers are correct. It sounds like you are in court proceedings and are unrepresented. You should obtain an attorney to assist you with this. You can go to the Legal Aid Center of Southern Nevada and see if you qualify for a pro bono legal assistance. If you do not qualify you may be able to obtain an unbundled attorney.
Sign up to receive a 3-part series of useful information and advice about child custody law.