According to the IRS here, it appears you would be a household employee and receive a form W2 from your employer. Using the form W2 you receive, you would enter that form information in the Wages and income section the Job/W2 topic.
Your employer is responsible for withholding and paying payroll taxes. They can accomplish this on their tax returns using a Schedule H.
The income to you would be the fair market value of what you received. That will be the value you and the employer have agreed to. Here is a link to IRS Publication 525. Refer to the Bartering topic.
Finally, if you are unable to obtain a W2 from your employer you can still file using a substitute W2. You do that in the Wages and Income>Job/W2 topic as well. Simply fill in your employer information (you can leave ID number blank if you don't have it) and put the agreed value in boxes 1, 3 and 5. After that you will get to a page of "Uncommon Situations". There you can select the option for "Didn't get a W2..." Fill in the requested information. You will need to print and mail your return for this option.
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