How do regular putters compare to belly putters and chest putters?

Other than size, obviously, what are the differences between the three. In your opinion, is one better for 10 footers and another for lag putts; is one built for a arced putting path and another for a straight one; is one easier to control distance and another for square clubface? Any information will help. (I'm a lefty so i don't have the advantage of trying multiple putters of different lengths)