I am an employee at a medical clinic and also have my own private medical practice with no other employees in the latter. Which tax program should I use?

How is your private practice organized?  Are you a sole proprietor or a single member unincorporated LLC?  Or some other type of business entity?

sole proprietor.

As a sole proprietor you would need to use the TurboTax Self-Employed online edition to report not only your personal income reported on a W-2 along with your personal deductions but also your business income and expenses to be reported on a Form 1040 Schedule C.  Go to this TurboTax website for the online editions - https://turbotax.intuit.com/personal-taxes/online/

Or if you choose to have the software installed on your personal computer instead of using the online web-based editions you could use any of the desktop CD/Download editions for both the personal and business portions of your tax return.  The desktop edition of Home and Business would be recommended if this is your first time using tax preparation software for your business (I personally recommend using the desktop editions instead of the online editions).  Go to this TurboTax website for the desktop CD/Download editions - https://turbotax.intuit.com/personal-taxes/cd-download/

You will need to know the minimum requirements for the desktop software based on the type of operating system you are using on your computer if using the desktop editions.

Windows minimum requirements - https://ttlc.intuit.com/questions/1901571-minimum-system-requirements-for-turbotax-windows-software

Mac minimum requirements - https://ttlc.intuit.com/questions/1899173-minimum-system-requirements-for-turbotax-mac-software