Hi Samuel, don't waste your money on any duplicator. Since I made my living doing architectural reproduction, aka spindle turning, I bought a duplicator and sold it after trying it twice. As already mentioned, you have to spend more time cleaning up the rough cuts from the duplicator, it's faster and easier to use the skew.
DJ Delore's jig is excellent for spindles but I don't think you'd like it for knitting needles.
As John Lucas said, there is a terrific article in Woodturning Design but if you don't get the magazine, that's not going to help, is it. 🙂 Basically the article shows putting a small square blank that's longer the the finished needle either in a jaw chuck but take the jaws off. I've done this and it works great. Also do a google image search for "home made collet chuck", that should bring up some good pictures and you can easily make your own. These also work great, I made several of various sizes.
One rule, start from the tailstock, making that the thinnest end of the needle, work gradually to the headstock and the fancy end of the needle.
Good luck. I learned how to turn by trial and error 19 yrs. ago (this month!) and although the "trial" is passed, I still make errors. 😀
Ruth