In the personal info section of TurboTax, be sure to enter your HOR/SLR as your "State of Residence." Then, if your only income was your active duty military pay, answer No to the question about living in another state, and No to the question about making money in another state.
And be sure to check the box that you served in the Armed Forces in 2019.
**Answers are correct to the best of my ability but do not constitute tax or legal advice.