I've got a Lee 4 hole turret too. My practice is to decap the brass and then tumble. Next step is to use the hand primer to prime the clean casings. I prime as an extra step because putting the primers in the Lee attachment, with these big old hands, is a pain in the tookus.
To extend the media life, I use about a third of a dryer softener sheet, also cut into thirds, in each batch. This picks up quite a bit of the residue from tumbling and greatly extends the life of the media (I use the corn cob mix).
Hope this helps.