If you use the online program you MUST use the Premier version. If you use the downloaded version any of them will work ... use Deluxe if you need a state return and Basic if you don't.
Desktop:
If you want to use desktop (CD/download) software then you can purchase it from TurboTax or a variety of retailers such as Amazon, Costco, Walmart, Target, Best Buy, etc etc. etc. The software still needs MANY updates.
https://turbotax.intuit.com/personal-taxes/cd-download/
Online:
https://turbotax.intuit.com/personal-taxes/online/
If you qualify AND if you wait until mid January THEN you can use one of the IRS FREE FILE options to file a fed & state return for free ... but you must be patient. https://www.irs.gov/filing/free-file-do-your-federal-taxes-for-free
IRS Free File is closed for the 2020 tax season. Check back in January for Filing Season 2021 opening details.
For Filing Season 2021, you must make $72,000 or below to use IRS Free File partner offers.
Sorry, if you have a Capital Loss Carryover you still need to use online Premier. Or you can buy any of the Desktop programs. All the Desktop programs have the same forms. You just get more help and guidance in the higher versions.
Oh, but if you don't have any carryover Loss from 2018 to enter you can use Deluxe unless you have something else that requires Premier.
I was only using TT Premier previously due to stock buy/sell activity or capital loss carryover. I have no capital loss carryover from 2019 to use in tax year 2020. I'll have a minor amount (probably <$20) of interest/dividends that were reinvested automatically.
If I understand correctly, TT Deluxe has the same forms as TT Premier so I'll be able to report any interest/dividends. And, since no stock transactions, TT Deluxe should cover what I need?
Correct ... if you have no loss carryforward requiring the Sch D you can use the Deluxe version.