CVS-related: reorganize project, rename, continue as if new

A prototype project was developed with Momentics/PhAB under 6.3 SP2
and uses a network-based WinCVS installation. I would like to do
some extensive source file reorganization, change the name and
continue development without linkage to the original prototype.

As one blind stab at this, I checked out the prototype under a new
name, added some folders under ~/src and moved some files around.
All this was done within Momentics using built-in “move” and “create
folder” operations. Now I would like to do the “starting over with
new name” step but am at a loss for what the next step would be. An
update-commit sequence does a nice job of bringing the CVS repository
up to date but under the original name.

Suggestions?