Do I have to be married to my boyfriend in order for him to adopt my children after my exhusband signs his rights over? We live in Texas.

You're best bet in this situation would be to get a free consult with an attorney because they will be educated on the laws where you live.

In most cases... almost all really... yes, you have to be married in order for him to adopt... and in most cases you have to be married at least a year. The courts do not want to see this child bounce from parent to parent. You need to show that you are in a longterm stable relationship.

Also... you mention "termination" and your "exhusband signs his rights away". Is your ex husband wanting to reliquish his parental rights? Because I hope you know you cannot terminate them if he is not willing.