Just a little warning here:
NEVER fire .32 Long Colt, or .32 Short Colt, ammo in that revolver. Both of these cartridges have cases smaller in diameter than the .32 S&W or the .32 S&W Long.
Fire either the .32 Long or Short Colt and the case will likely split, spitting hot gases back toward you.
.32 Long Colt ammo has not been made in nearly 30 years but you still find individual cartridges in loose boxes of .32 Smith & Wesson Long, on occasion. Watch those headstamps to determine what you have, if the ammo is not in its original packaging!
.32 Long Colt ammo will be marked 32 LONG COLT, 32 LC or 32 COLT.
.32 Short Colt ammo will be marked 32 SHORT COLT, 32 SH COLT or 320 (European or British made ammo).
Some years back, .32 Smith & Wesson Long ammo had two names: 32 S&W Long and 32 Colt New Police!
Here's how that came about: Colt had its .32 Long Colt cartridge. Smith & Wesson introduced its .32 S&W Long, which proved to be far more accurate. Colt wanted to start chambering its revolvers for the Smith & Wesson cartridge, but didn't want to acknowledge its greatest competitor on the barrel, designating the caliber.
So, Colt slightly changed the bullet design, from the pointed bullet of the Smith & Wesson to a bullet with a slight flat (meplat) on the end. That's the only difference between these cartridges. The cases are identical.
So, if you find cartridges marked 32 COLT NP, 32 NEW POLICE or 32 COLT NEW POLICE they may be fired in your revolver.
But beware! They may be so old as to have corrosive primers. It would be better to save such cartridges as an interesting relic of days gone by.
The empty cases bearing the Colt marking above may be reloaded, but many of them will have the old balloon head construction. They should not be used for anything but light loads, and certainly not with anything but lead bullets at that. Jacketed bullets raise pressures somewhat, all things being equal between a lead and jacketed bullet.
The .32 Magnum is a great, little round. I hear it creates wounds all out of proprortion to its size, owing to its higher velocity and the use of jacketed hollowpoints. Should be a dandy little defense revolver.