https://www.ramshot.com/faq/There is unfortunately no simple solution or recommendation, because the primers of different manufacturers can differ quite substantially even when rated for the same category.
However, as far as safety is concerned for the most general and popular calibers standard primers of most manufacturers will work in both the handgun and rifle categories.
The belief that all spherical powders must be combined with magnum primers is not true. This might have been the case in the early years. However, what is suggested is that as soon as the capacity of a typical rifle caliber goes beyond 70 grains it will be good to use a higher energy "Magnum" rated primer. In the case of handguns its more difficult and as far as our Accurate products is concerned it will be good to use magnum primers when the Chargemass exceeds 20grains in a typical bigger bore caliber such as 44 and larger.
As far as accuracy is concerned, which depends on the intricate/complex interactions of the components and weapon system/platform a change in any one of the major components including primers can have a significant effect, for better or worse. Therefore it will be wise to experiment with different primers if a problematic situation arises.