You can use Standard for both your returns even if your husband was Self-Employed. All versions of TurboTax have the ability to do Self-Employed returns. However, the Self-Employed product has an expanded interview that may make filing out that part of the return easier.
You can choose to prepare your return separately, but then you may have to some calculations on your own when it comes to some credits and spousal transfers.
Your info will still transfer over regardless of whether you prepare your returns separately, but you must both use the same account that you used in previous years. If you make a new account, you won’t be able to see your previous years’ info in the new account.