mi't versus mi't

A beginner's question here. If mi't both means to have and supposed/expected to, how does one say: I am supposed to have the car today?

 

Dnes bych měl mít to auto. But without another context it can be misinterpreted as:
Dnes bych měl mýt to auto. (sound the same - I am supposed to wash the car today.)

Better add something to the end:
Dnes bych měl mít to auto zpět z opravy. (I am supposed to have the car today back from reparation.)

 

Another distinction is that when mít is used as "supposed-expected to" it is used as a sort of helping/auxilliary verb with another verb in the infinitive form following it. When it means "to have/possess" there is no additional infinitive.

 

That was an excellent question MichaelM.
Wish I'd thought of it.

 

Scrimshaw and others, thank you very much for your replies. I'm sure to have more questions in the future.