The activity you describe does not seem to rise to the level of trade and business (see definition in this IRS document). and therefore the income must be report as Other Reportable income. And no expenses can be taken against this income.
However, if you consider yourself as being in business providing this service, you then report the income as self-employed income and can deduct related expenses against the income. To do this, you'll need to upgrade to TurboTax Self-Employed.
To report your 1099-MISC as self-employed income, please read this.
To claim expenses, please read this.
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