You can request a legal name change as part of the divorce proceeding or you can start a separate legal name change procedure. If it is important to you that your abusive spouse not know your new name you should talk about this with the divorce lawyer to see if part of the process can be kept private.
Contact an immigration attorney to discuss the case in detail. Skype consultations are also offered. This general forum will not help your specific case. I wish you the best.
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Name can only be changed through a court order or through marriage/ divorce. So you will need to have a court order. You should file for divorce first and then change your name. Consult a lawyer if you have more questions.
This answer is not intended to replace a consultation with an attorney and does not create an attorney-client relationship.
You will have to get a court order to change your name legally.
The answer provided here is general in nature and does not take into account other factors that may need to be reviewed for a more precise answer. You should consult with an immigration attorney before taking any action. The answer here is not intended to create an attorney-client relationship.