You can use the Premier edition or the Self-Employed (called Home and Business in desktop versions) to file wages and self-employment income and expenses. Self-Employed has everything Premier does but also has these additional features not available in Premier:
Online product comparisons - https://turbotax.intuit.com/personal-taxes/compare/online/
Desktop product comparisons - https://turbotax.intuit.com/personal-taxes/cd-download/
The Deluxe version will only allow you to enter self-employment income, so it is not a good choice if you have business expenses that you want to deduct.