If I need to file 3 Form 1040, 1 Form 1041, 1 Louisiana Resident Return, and 1 Louisiana Non-resident return. Which turbottax is right for me?

For the Form 1041 you will need the TurboTax Business Edition - https://turbotax.intuit.com/small-business-taxes/cd-download/

The Business Edition can only be installed on a Windows based personal computer, not on a Mac or online.

The Business Edition cannot be used for a personal tax return Form 1040.

For the 3 federal 1040 tax returns and the LA state returns you should be using the the TurboTax desktop edition of Deluxe or higher.  With the desktop editions you can complete unlimited federal and state tax returns.  You get 5 free federal e-files and one free State program Download with the Deluxe edition or higher purchased from TurboTax.  Note that there is a e-file fee of $20 - $25 for each state tax return e-filed.  This state e-file charge can be avoided by printing and mailing the state returns.

The desktop editions can be installed on Windows or Mac personal computer.

Go to this TurboTax website for the minimum system requirements - https://turbotax.intuit.com/personal-taxes/cd-download/tta-system-requirements

TurboTax desktop editions - https://turbotax.intuit.com/personal-taxes/cd-download/