I have the Oneway Live Center, it is a very good tool.
It has a small center for most work, but it also has a threaded portion that you can put the larger center on or the reversible large bullnose center on, very useful, but, I find that one some items, like the Toothpick Dispensers I'm making the aluminum often leaves black marks on the wood.
Here you can see the Oneway Live Center with a bolt inserted into the place you usually put the stop pin so you can unthread things, so I can install the live center on the headstock and it will turn, in this way I clean up the aluminum part, as it gets dinged up from use.
I had some Delrin plastic on hand from a job and and ended up making this Delrin nose cone for the live center.
I drilled it out with a 16.5mm bit and then threaded it with a 3/4"-10TPI tap, I think it is going to do the job nicely!