I'm pretty sure you can get by using your Premier Edition. It contains Schedule C (which is the form you'll need to complete for your self-employed business). It also contains schedule SE. That's the form that you'll submit to calculate your self employment tax.
Here's the thing: If you begin with Premier and you enter information that requires the Self Employed Edition, you'll be prompted to upgrade. I'd "think" that would happen only if you're entering business expenses, which you say you don't have.
So stick with your Premier. I think you'll be good.
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*** I am NOT a tax expert. I am a seasoned TurboTax user, and volunteer to provide assistance to TT users. Nothing I post is to be considered TAX ADVICE; I bear no legal liability for responses.***
