my tumbler works best when its pretty full. I use walnut because its more aggressive and cheap in the pet store bird section. I squirt a little media additive in once in awhile to re-charge the media. Also, I use cut up dryer sheets in the tumbler to prevent residue buildup.
After tumbling, then FL or partial FL resize, which will also knock out the primer. I use one-shot, and don't tumble again afterwards. I just lay out the cases on a shop towel and wipe them off about 10 at a time just before prep.
Cases stretch during re-resizing, so after sizing, then measure and determine if trimming is required (if trimming, then you may want to trim all your brass at once). While measuring, I inspect each case for defects such as neck splits (reloading manuals show the various defects).
After trimming, do the prep: neck brush, flash hole debur (once only), primer pocket uniforming (once) primer pocket brush, ID/OD chamfering, and steel wool polish the mouth. See the steel wool spinner from Varmint Al - it will prevent scraping copper from your bullets during seating.
As far as weight sorting, I'm curious to see what others advise here. To me, it doesn't make sense to weight sort unless the cases are brand new brass. The trimming and prep processes will remove variable amounts of brass which can affect weight (not case capacity, which is the real variable).
Certainly this is just "my way" and not necessarily the "best way". I cut some corners and go a little extra on others.
Everyone has their own way and by only sharing can we learn a few precious tidbits from the next guy...