I run into same issue: At work I have to use Windows and at home I use a Mac. I'm sick of having different shortcuts for these basic tasks. Here is my solution for it:
Go to your User folder on your Mac and open the Library directory.
Here you create a "KeyBindings" folder.
Then navigate into that folder:
(Your User folder)/Library/KeyBindings/
Create a file "DefaultKeyBinding.dict" with following lines:
"^v" = "paste:";
"^c" = "copy:";
"^x" = "cut:";
"^z" = "undo:";
Save everything and restart your Mac.
Now, you will have CTRL + x/c/v/z working like it is on a Windows machine.
BE AWARE: This will overwrite whatever Apple has configured for these shortcuts. For instance CTRL + v is a standard shortcut for page down, which will not work anymore.