Hello Maria.
Once you make a legal name change you need to update your green card with your new name.
If you plan on naturalizing then you don't have to updte your green card because you will be able to update your name when you become a citizen.
Since you plan on leaving the US in July you should immediately file for naturalization so that you can receive your new citizenship certificate with you current name.
My firm can assist you with this matter, we have clients throughout the United States.
Please call my office for a free initial consultation. We do offer payment plans.
915-219-4070
Thank you.
Samuel J. Zermeno, Esq.
Answered on Jan 21st, 2016 at 1:45 PM