"Easy" parting is dependent on several critical factors - all of which need to be correct. First of all, get a parting tool holder like the one sold at LMS. See link below:
http://littlemachineshop.com/products/product_view.php?ProductID=1551&category=
Then, outfit it with a thin parting tool - like the ones LMS sells (LMS, btw, is not the only place you can purchase these tools, but it was quickest link for me to find).
The parting tool itself should stick out past the holder by the smallest length that will allow you to part the workpiece. It must be perpendicular to the workpiece (use a small machinist's square to verify and rotate the holding block on its stud, until it is, and then lock it down, and measure again). The height of the tool is critical - if too high then the parting tool rubs on the work somewhere below the cutting edge. If too low, the work rubs behind the cutting edge. I use a cheap plastic level, sold by many suppliers. It has a V cutout which you lay against the workpiece, and a ledge that you lay on the tool edge. Having previously leveled the lathe, this will then indicate that the cutting edge is right dead on a diameter of the work piece. Many machinists say that the best thing to do with the smaller lathes is to then shim the parting tool holder just a hair high, as the work will pull the cutting edge down when you engage it. A Carriage lock is very helpful in keeping everything stable while you part. Now, using your choice of cutting lubricant fluid, advance the tool into the work. It should cut without chatter, and "peel" off a thread of the workpiece. Advance the cutter slowly, keeping the lathe at a slow to moderate speed, and the fluid applied. If everything is adjusted properly, and locked down tight, you should be able to part as easily as you do any other cutting operation.
Two other thoughts that may be helpful. The second thing i built with my new lathe and mill (an X2 from Harbor Freight) was a quick release tool holder and some dovetailed sliding blocks to hold the cutters. This allows you to very quickly drop the current cutting tool into place, and once adjusted with the little thumbscrew for height, the tool height will stay correct until you move the tool in the block for some reason. The fourth or fifth thing i built for my lathe was a carriage lock - a lever-operated type that draws an aluminum "shoe" up under the ways. Between these two accessories, setting up the lathe for work, quickly and without much fuss, becomes much easier. The carriage lock contributes a lot to the overall stability of the carriage, especially during parting. So, when i need to make tooling or modify a tool i bought for my other hobby, woodworking, i can go into the machine room, and get set up to make the part very quickly.
good luck, and have fun.
Bert