I guess if this is something you do often, there's a little (non-free) utility that promises to do it for you: I haven't used it, so not sure how good it is:
http://www.kinook.com/CopyWiz/
There is also this project on CodePlex:
I will probably give the codeplex project a try, and if it doesn't work I'll manually rename everything and edit the sln file.