You'd have to give alot more spec info than "I got a whole new PC with serious power (Quad core, 6G RAM) good hardware..." before you can expect possible answers.

What video card brand, model and driver set? How much VRam? Onboard or PCI-e?

Video cards and drivers seem to be a huge factor in Poser pro crashes.

What is the error message? Is it an OGL error (something like nvogl32.dll in the "appcrash" report)

What speed CPU? Poser Preview settings? Multiple monitors? Have you run amemory and/or hard drive test? Do you have Poser on the same partition as Windows? On the same physical HDD?

(An app can crash if trying to retrieve info from a failing drive, and a bad RAM module won't always be evident until it tries to do certain things)

Stuff like that should be mentioned whenever asking how to narrow down a crashing problem.