How does the health insurance work in Czech Republic?

I'm currently in the process of moving to Czechia, I have founded a S.R.O. company and will probably employ myself there.

Now, how does health insurance work for someone like me? If I employ myself in the company, I assume I would have to join the public insurance. Are there multiple or is there only one?

Also, is there private health insurance? I can only find conflicting information on that, some sources say that there is no privat health insurance, some say that there are private insurances which can be added on top of the compulsary public insurance and some even say there is completely independet, privat health insurance. What is correct?

And how much would the insurance cost for me, both private and public? I'm a 33 year old male, in good health, no chronic diseases, I make about 1.2 Mil crowns per year before taxes and plan about making the same in Czechia.

Can someone bring some light in this maze?