I don't ride my horses in a snaffle, but I do a lot of ranch type work, reining with only one hand, often while the other is busy doing something else like handling a rope, moving tree limbs away from the path of my head, or possibly carrying a dog/calf on the saddle. For that reason, I need a bit that will deliver the cues with less movement on my part and is designed for one handed riding; hence, the curb bit.
However, I do start all my youngsters in a simple snaffle like you and I honestly believe that the world would have more good horsemen if people couldn't just "bit up" a horse to force submission.
These bits are very similar to the styles that I most commonly use. They are just about as mild as a person can find as far as curb bits go, and I've yet to have a horse that didn't go well in one of them (when introduced to them properly, of course). Saddles Tack Horse Supplies - ChickSaddlery.com Reiner WIde Port Swivel Shank Bit 254330- Partrade Black Satin Bit 239091- Partrade Cowboy Collection Short Slotted Futurity Bit 796- Reinsman 7" Steel Reiner Billy Allen Mouth Amazon.com: AT Low Port Loose Cheek Low Port...
I know a lot of folks swear by the Myler type bits, but I just can't justify spending $100+ on a bit when I can get the same basic action for a third the price.