Emphasis on practice! I have turned hundreds of acrylic, I am not fond of corian, because it requires sharpening so often.
Early on, I turned slowly, now I turn at 3000 rpm-same as anything else. Take the edges off with a roughing gouge or spindle gouge, early on you may break pieces off, tool is not sharp enough, or you are trying to remove too much material in one swipe. Once turned to round, switch to skew or any other tool with which you are comfortable (in early career, even scrapers were used-slow, but seldom chip out), AVOID HEATING blank-anyone who has turned acrylic will tell you that heat is your worst enemy. And heat "blowups" can hit you in the face, so use a mask, at least until you are comfortable turning the plastics.
As Jack Davis says, however, the only way to get "good" at this is practice. Polishing acrylic becomes the difference between a "casual" turner's pen and a really outstanding effort. Much has been written here on this topic-when you become confident that you can turn the pen without "nicks" remaining in your finished product, then experiment with different "final steps": MM, polishes, Bealle (If available)-until you find the finish YOU think is best.
Good luck, if you master acrylic, you will be surprised how much easier wood is when you do it. The techniques you develop improve ALL types of spindle turning.