How do I change my name after getting married? (texas.gov)
"There is no single form to fill out that will change your name after marriage. In most cases, you do not need a court order to change your name after marriage. Your completed marriage license is legal proof of your new name. You can use your completed marriage license to update your identification documents."
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Yes, you can only change your name in certain ways under this process. Texas Administrative Code Title 37, Rule 15.23 states that a person does not need a court order to change their name on Texas driver's licenses and IDs for the following types of name changes:
Changing your last name to your spouse’s last name;
Changing your last name to your spouse’s last name and your middle name to your current last name; or
Hyphenating your last name and your spouse’s last name. "
The Texas statute is exactly in line with USCIS standards.
Marriage certificate says John Doe married Jane Smith
Jane can use any of the following as her new legal name:
Jane Smith
Jane Doe
Jane Doe Smith
Jane-Doe-Smith
The OP stated "I would like to update my status with the I-485 form and also we agreed to change my last name to my husband's last name." It all depends on when the OP wants to start using a new name.