The Sliester was a brand of bits, I think they were made in CA, not even sure if they make them anymore. That style of bit could be used for a horse that is finished and neck reins. If you do use that bit, make sure the cheeks do not pinch, you might have to use bit guards.
A lot of folks use an Argentine bit as a transition bit between the snaffle and a curb or leverage style bit. In my own opinion if you use a shanked bit with a two piece mouth like a snaffle then you are better off with a three piece like a dog bone or lozenge.
I forgot to add, the last pic is a Tom thumb bit.
I DON'T LEAD 'EM AND FEED 'EM, I RIDE 'EM AND SLIDE 'EM.