"Collet closer" is I think what you're looking for, as far as the collets go.
For a center, you probably need a Morse-whatever-to-Morse-whatever taper adapter.
Which 10" South Bend do you have?
The 10K takes 6K collets, which go directly into the spindle -- they don't need a collet closer. The collet closer is built in. The spindle is also Morse #3.
The "big" 10" SB takes 5C collets, and I'm pretty sure they do need a collet closer. I don't know what the spindle taper is.
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