You would use Self Employed Online or Home and Business on the desktop. The forms that you are submitting are Schedule C and Schedule SE. When you go through the interviews it will ask for the name of the business.
You could enter the business name in either form. It could be Jane's Quality Clothing or Jane Doe, DBA Jane's Quality Clothing. Most people will just use the business name and the DBA is implied. Either is acceptable to the IRS.
You will have self-employment income so you will pay self-employment tax for Social Security and Medicare as well as ordinary income tax. You will need to complete a Schedule C for your business expenses. Either online Self-Employed can be used for that, or any version of desktop software, although you get more help with Home and Business.