command line - Advanced merge directory tree with cp in Linux

I need to:

1. Copy all of a tree's folders (with all files, including hidden) under /sourcefolder/* preserving user privileges to /destfolder/




2. If there is a conflict with a file (a file with the same name exists in destfolder), then

   
   
   
   
   • rename file in destfolder with a standard rule, like add "old" prefix to filename (readme.txt will become oldreadme.txt)
   
   
   • copy the conflicted file from source to destination
   
   

Conflicts between folders should be transparent - if same directory exists in both sourcefolder and destfolder, then preserve it and recursively copy its content according to the above rules.

I need also a .txt report that describes all files/folders added to destfolder and files that were renamed.

How can I accomplish this?