Ok, it is a 357 with a conversion cylinder in 9mm, so you can shoot 9mm, 38 Special, and 357 Magnum.
Bullseye and W-231 (or HP-38) can be used in all three calibers for light to medium loads.
Unique and AA#5 can be used in all three calibers. These would be the slowest powders and allow top velocities in 38 Special and near top ballistics in 9mm. For 357 Magnum, you can get within about 200 feet per second of top velocities.
Blue Dot and AA#7 would allow you to get the most out of the 9mm, but not really that much more than Unique or AA#5.
2400 and W-296 (or H-110) will allow you to get the most out of the 357.
If I had to pick just one powder, it would be Unique. It is a jack of all trades, unfortunately, it is a master of none. For ease of use, stick with the spherical powders, they meter beautifully. I finally settled on W-231, AA#5 and W-296 for my handguns. Until I got a S&W model 29. In the 44 Magnum caliber, Unique does seem to do the best with mid-range loads.
As for primers, use standard small pistol primers except for W-296 or H-110, these do require small pistol magnum primers.