If you are using TurboTax Online, you will both need to use the Self-Employed version if you prepare your returns together. If you prepare your returns separately, then you can use different versions of the software.
If you want to use TurboTax CD/Download (for Windows 10/11), then you will still have to prepare your returns in the same version of the software. But you can use any version, as they all have the same forms. We would still recommend Home & Business as it provides more guidance in the Self-Employed/Business section.
