I use mostly three powders for all my handgun loading. My powder trinity is W231/HP-38, HS-6/W540 and W296/H110. I put those pairs of powders together because they are exactly the same according to Hodgdon/Winchester.
I use almost any brass although Winchester is my probable favorite. I use mostly CCI and Winchester primers because they work well. For range use I mostly load lead bullets or coated lead bullets.
When loading very light .357 Magnum loads with lead bullets I use W231. For real magnum pressures and velocities I move to a slower powder, HS-6. I have found HS-6 to be very accurate with lead bullets. For full power magnum loads you will find W296/H110 hard to beat.
If you want to stay away from magnum primers which are recommended with both HS-6 and W296 you can use Alliant 2400. 2400 can be use for full power loads and downloaded to middle pressure loads too, all with standard primers.
Today there are plenty of good powders for full power .357 Magnum loads.
The include: Alliant 2400, Power Pro 300-MP, Accurate #9, Ramshot Enforcer, W296/H110, Hodgdon Lil'Gun and possibly AA4100 and IMR4227 but those two are better in the .44 Magnum.
As you see there are plenty of good choices and all will serve you well.
Good luck and welcome to the forum. Don't forget the range report...