Income from babysitting is considered as self-employed income.
Please follow the instructions in this TurboTax Help article to report your babysitting income.
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That is self employment income. You have to file it on schedule C and pay self employment tax.
You can enter Self Employment Income into Online Deluxe or Premier but if you have any expenses you will have to upgrade to the Self Employed version. Or any of the Desktop programs. But you will get the most help in the Home & Business version.
How to enter income from Self Employment