For exact primer seating, I prefer the RCBS or Lyman Ram Prime tools. They sit on top of a single stage press and you can set the exact depth you wish to seat the primers. I've tried just about every priming method in the past 51 years of reloading, and this has proven to be the best for me.
Some swear by the hand priming tools, and I've used both the Lee and the Hornady hand priming tools. I broke both of the Lee tools, since they were made of pot metal. The Hornady was made better, but I don't like the fact that my hands get tired squeezing on them, and that you can't set the depth for repeatability. Some swear by the "feel" of the primers seating, but all primer pockets aren't the same.
I've also used the RCBS APS system, and it worked ok. You have to either buy the CCI primers in strips, or get the strip loader and load the primer brand of your choice into the strips. CCI primers aren't my first choice, so that meant loading my Federal and MagTech primers into the strips first. This took about the same length of time as loading primer tubes for other priming methods, but it still wasn't quite what I was looking for in a priming tool. I settled on the Ram Prime because it's an exact system for seating primers.
If you get a primer too deep into the pocket, the firing pin may not be long enough to reliably set them off, and if you don't get them deep enough, you get the situation I described in my previous post.
I very seldom seat primers on my progressive presses, preferring to run sized and primed brass through them. And since it's my shop, and I make the rules, that's how I do it, simply because it works for me and I don't have primer problems, period.
Hope this helps.
Fred