I can't comment on the CW45 as I've never even handled one. However, I carry a PM9 every day. The PM9 is the same gun as the CM9. The difference is that the CM9 is a budget version of the PM9.
It doesn't have the fancy rifling, comes with only one magazine, and the engraving on the slide isn't as fancy either. Besides those facts they are the same gun. I love my PM9 and it's been a great gun. I couldn't recommend it enough to anyone for a carry gun. As such the CM9 should fit just as well.