I live in Texas, and am a widow. I have some investments from the life insurance my husband had, and my house is paid off.

If you remarry, it would be best for you to execute a  new will stating that you are married and that you want certain property to still go to your children.  You should also consider entering into a premarital agreement that would specifically reaffirm your separate property and the fact that your new husband would not have any rights to the property.  Additionally, he would have the right, under Texas law to continue living in your separate property house (if that was the marital homestead when you died) for his life unless that right was specifically waived in the premarital agreement.  Contact a lawyer in your area and talk to him or her about the options that are available to you before you get married again.