Most people simply cook with olive or vegetable oil, but there's a whole word of cooking fats out there to work with. Lard ...
And, no, cooking grease, lard and excess oil can't be composted. Alternatively, you can strain any food particles from the grease and store it in the refrigerator for future use while cooking.
When you're at the store, you may see both lard and tallow and wonder just what the differences between the two are -- and ...