You don't really need to separate them.
Taking a distribution from a Health Savings Account (HSA) is a stand-alone entry within your return. If the distribution was used to pay qualified medical expenses, then it is not taxable. You don't have to have been covered under a High Deductible Health Plan (HDHP) in order to take a distribution from an HSA. It does not matter if the distribution was from a prior HSA or one that you contributed to in 2019. It is still just reported as a distribution.
Making a contribution to an HSA is a bit more complex since you do have to be covered under a HDHP in order to make contributions. So when you are going through the HSA section of your return with regard to contributions, you will be answering questions about the new HSA.
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