Honestly, I don't do much to it.
I have one pickle jar that I use to store old bacon fat. I just pour it into the jar and put the jar in the refrigerator when it cools. I use that fat for things like eggs, meats, and certain vegetables I want to add bacon flavor to.
The other pickle jar I use to store leftover frying medium for things like potato chips and french fries and such. I fry in lard because that's what I grew up with.
I don't filter or refine or anything. I just pour the liquids in their jars and scoop out what I need when it's time to use it.
I don't know how long it's possible to keep doing this because my wife throws the jars away every few months and I have to start over. But there's a restaurant in Philadelphia (Bookbinders?) that is famous for re-using its cooking fat for decades.