Frank223.
As mentioned, it usually takes a sharp rap to set off a primer. I doubt you could come even close with a hand priming tool.
OK, what you need now, is a priming pocket uniforming tool. There are a couple of makers out there and IMHO their products all work well.
You need to make sure you get the proper size tool. For your 308, you will need one for a large rifle primer and for the 223rem, a tool for the small rifle primer. I like the ones that have a small drill on the tip to make all of the flash holes large enough to accept the larger decapping pins.
As you have noticed, not all primer pockets or flash holes are made equal. The same goes for the diameter of primers themselves. Sometimes primer pockets will be to shallow as well and in some cases, especially with offshore primers, they will be to tall.
Every component you obtain, will be from different lots and they will most likely have something different about them. It all depends on the materials the manufacturers had available to them at the time of production. This includes the brass of your cases, metal of the primer, priming compound, powder and even the bullets. Mostly, commercial producers try to keep everything as close to spec as possible. This just isn't always possible for many reasons. Usually financial.
Keep in mind, every time you purchase new components, they usually are made to a 5% +or- tolerance. If you insist on loading to maximum velocities and pressures, this can bring you very close to a serious situation.
Now, the big thing with reloading, be cautious. Don't be afraid to check out the manuals. There is a lot of good information there. Most of it came about through experience or from some very harsh lessons.
If you use your head and don't push the envelope, you will have a lot of very good and safe shooting ahead of you.
Here is a really good bit of information that many newbies just don't take to heart. Once your reach the saturation point of the capacity of your bore, if you increase your powder charge by 10%, you will gain as much as 1% or less velocity. You will likely get as much as a 25% - 50% spike in pressures. This might be dangerous in your firearm and it will most definitely increase throat erosion and decrease brass life.
Only you can decide if it's worth the added cost and risk.