I have used a flipper tray, but I went back to my old reliable way. I just dump the box of primers into a small box, with 1 -2 inch sides. I then just shake the box until a number of the primers are shiny side up, and place the primer tube input end over them, and push down. I've been doing this for years, and it works with all mfg of primers.
Regarding the sensitivity of Federal primers, they are more sensitive than CCI primers by my tests, with small pistol primers and a Glock 35 with a trigger job, (2 1/2 #). I use CCI and Federal primers exclusively. For rifles I use CCI BR2, and Federal 210M. With my 45's, I use CCI large pistol without problems.
Fortunately I have a good stock of components.
Best to all, good shooting.