With the information you have just given, it looks like you are currently earning ~$3,750 per month at the new job, plus $14,000 from the previous job. At this rate, your income will likely be somewhere around $48,000 for the year. The HOH standard deduction for 2023 is $20,800, taking taxable income down to $27,200. This calculates to a tax number of ~$3,000. Assuming that you have no other taxable income during the year AND assuming dependent tax credits of $4,000 (if both children are under age 17), zero looks like a reasonable number for withholding.
