For handgun use, SR (and SPM) primers are perfectly acceptable substitutes for SP primers. No need to reduce powder charges. The only issue is reliability in some guns. A weak firing pin strike may result in a misfire, because the metal used in the SR (and SPM) primer cups is slightly thicker (in fact, that is the principal difference between SP and SR primers). Best to load up at least 10 empty cases with SR primers first and try them in your gun. If they all pop, everything should be OK. Using LR primers for larger handgun cases is not recommended as LR primers are "taller" than LP primers and can't be seated flush with the cartridge case head. LP primers can be used in LR-pocketed rifle caliber cases, but only for very low pressure loads. By mistake, I once, long ago, loaded some 8x57 Mauser ammunition using LP primers, and didn't realize it until after I had fired all of them, but without mishap. Maybe I was just lucky.
For reloading some old odd rifle calibers cartridge cases using Berdan primers, I have actually drilled holes to allow insertion and use of shotshell primers. Again, very low pressure use only.