None. That's why an Affidavit of Support was executed on your behalf by your sister, to guarantee the government that you and/or members of your immediate family members who immigrated with you will not become "public charges" and also guaranteed to reimburse the gov. if you were to obtain any "means tested" benefits at any time prior to becoming citizens.
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You can receive ZERO means-tested benefits. This means any government benefits for which you show them that you are low income.
Why/how? Because you must show them your sister's income and she can be required to pay the government back.
Yes, this can cause problems for you in the future.
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I agree with my colleagues. No benefits. Only privileges; the privilege of being here and the privilege of employment. There are non profit organizations willing to help those like yourself but you need to do the leg work to find them: Catholic Social Services, Lutheran Family Services, Churches, Vacation Bible Schools, food pantries, low income medical clinics.... Good luck.
You should review Form I-864P, Poverty Guidelines, to see a list of what are means-tested programs. The form is free at www.uscis.gov .
WA may have programs for which your children are eligible.
What you should do is check with the offices that administer those programs to see who in your family is eligible.