The hotter you get the material the better off you'll be as far as molding is concerned. IOW, you won't have as big of a problem with bubbling, burning/pulling, etc. Most forms of acrylic melt at around 400*. We used to cold bend (90* bends and everything in between) lexan. I was amazed that it didn't break. But you're most likely not dealing with lexan, probably lucite or something else? Or do you know what it is? This could probably help me get you a better answer.
The best way really would be to use a heat gun and temp. gun. This would obviously need a buddy for help, but would get you pretty good results. Also, what shapes are we talking about?