Are they paying you as a W-2 employee or did they give you a 1099NEC? That is what will make the difference for which software version you use if you are using online software. If you use the CD/download then any version of the desktop software will work for you. Every version of the CD/download can prepare a Schedule C and/or Schedule SE for self employment income
If you are using online, if they gave you a 1099NEC you need online Self-Employed.
https://ttlc.intuit.com/community/self-employed/help/what-is-the-self-employment-tax/00/25922
https://ttlc.intuit.com/questions/2902389-why-am-i-paying-self-employment-tax
https://ttlc.intuit.com/questions/1901340-where-do-i-enter-schedule-c
https://ttlc.intuit.com/questions/3398950-what-self-employed-expenses-can-i-deduct
https://ttlc.intuit.com/questions/1901110-do-i-need-to-make-estimated-tax-payments-to-the-irs