The best replacement for child tax credit is earned income credit.

The best alternatives to child tax credit are rated as following:
★★★★★  earned income credit
★★★  additional child tax credit
★★  dependent care credit
★★  flexible spending account
★★  fsa
★  exemption
★  dependent care fsa
★  child care credit
★  dependent care account
★  child benefit
★  dependent exemption
★  child care vouchers
★  eic
★  dependent care
  earned income tax credit
  child and dependent care credit
  childcare vouchers
  dependent care spending account
  head of household

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Speaking about child tax credit, one probably shouldn't forget about no income.

Other search terms related to child tax credit and their ratings are:
★★★★★ no income
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child tax credit
earned income credit
additional child tax credit