If you are self-employed you can claim your dependent child. Your child-related credits will be based on the amount of income you earn. When you report self-employment income, you also have to report the expenses you had on a schedule C.
https://ttlc.intuit.com/questions/2903027-how-do-i-report-income-from-self-employment
https://ttlc.intuit.com/questions/3398950-what-self-employed-expenses-can-i-deduct
https://ttlc.intuit.com/questions/2902389-why-am-i-paying-self-employment-tax
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