Do I need to use Turbo Tax Business?

Sorry No,  TT Business is for 1120 Corporation, 1120S Corp, 1065 Partnership or 1041 Estate/Trust returns. Not for self employed independent contractors. 

You can buy the personal Home & Business version here…

https://turbotax.intuit.com/personal-taxes/cd-download/home-and-business.jsp

To report your self employment income you will fill out schedule C in your personal 1040 tax return and pay SE self employment Tax.  Here's a Schedule C  https://www.irs.gov/pub/irs-pdf/f1040sc.pdf

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 use any of the Desktop CD/Download programs.

How to enter self employment income

https://ttlc.intuit.com/community/self-employed/help/how-do-i-report-income-from-self-employment/00/26653

Thanks for the info!  So I did check and it's actually the Home and Business program. So do I use it or do I have to upgrade to the Self Employed since I have expenses?  How do you upgrade? I assume it costs more?

No  you are good with Home & Business.  The Self Employed version is the same thing but in the Online web version.     You have the Desktop program which is better and has several advantages over the Online versions.