Is CS more like software and CE more like hardware?
This is actually an easy one, particularly if you just want to see some meaningful distinction drawn by an organization people listen to. Consider the ACM/IEEE guidelines on computing curricula.

The differences between Computer Science and Computer Engineering can be seen when comparing the respective bodies of knowledge:

Computer Science (2008)


Discrete Structures, 43 core hours
Programming Fundamentals, 47 core hours
Algorithms and Complexity, 31 core hours
Architecture and Organization, 36 core hours
Operating Systems, 18 core hours
Net-Centric Computing, 15 core hours
Programming Languages, 21 core hours
Human-Computer Interaction, 8 core hours
Graphics and Visual Computing, 3 core hours
Intelligent Systems, 10 core hours
Information Management, 11 core hours
Social and Professional Issues, 16 core hours
Software Engineering, 31 core hours
Computational Science, no core hours


The total core hours for CS add up to 290 hours.

Computer Engineering (2004)


Algorithms, 30 core hours
Computer Architecture and Organization, 63 core hours
Computer Systems Engineering, 18 core hours
Circuits and Signals, 43 core hours
Database Systems, 5 core hours
Digital Logic, 57 core hours
Digital Signal Processing, 17 core hours
Electronics, 40 core hours
Embedded Systems, 20 core hours
Human-Computer Interaction, 8 core hours
Computer Networks, 21 core hours
Operating Systems, 20 core hours
Programming Fundamentals, 39 core hours
Social and Professional Issues, 16 core hours
Software Engineering, 13 core hours
VLSI Design and Fabrication, 10 core hours
Discrete Structures, 33 core hours
Probability and Statistics, 33 core hours


The total core hours for CmpE add up to 486.

A fair way to compare the two might be to find a percentage makeup based on the above curricula. The conclusion would seem to be that CS is at or above CmpE in subjects they have in common, and has fewer other subjects, whereas CmpE is lower in common areas to both programs, but has more subjects not studied in CS, mostly related to EE. This seems to be consistent with the distinction I normally draw, so I'm happy with the overall result of the analysis, but you might draw your own conclusions.