My dependent & minor kid earned total ~$4K income through internship (1099-NEC) & part-time job (W2). Do I need to report this income on my 1040 or file 1040 for kid?

Your child should file his/her own tax return and then indicate on the return that they are a dependent on someone else's tax return. This is in the MY INFO part of the return.

Thank You! 

So we will put kid's income (internship 1099-NEC & part-time job W2) on kid's return and not include this as a part of our return.