Legal Question in Family Law in Washington

Yes as to filing in WA, though you may not be able to deal with all the property if some is in TX. Yes as to TX recognizing (full faith and credit clause of US Constitution). But if you have children, the jurisdiction of the custody case will be according to the Uniform Child Custody Jurisdiction and Enforcement Act (UCCJEA), which has been passed in all states essentially the same. In WA it is found in chapter 26.27 RCW.