I moved to a new home and rented out my old home in year 2021. Does this fall into category of "Converted home to rental or rental home" ?

Yes, your previous home is considered a conversion as of the date you placed it in service.

 

When a personal residence is converted to business use (or for use in the production of income), its starting point for basis for depreciation is the lower of 

(1) the adjusted basis on the date of the conversion or 

(2) the property's FMV at the time of the conversion.