As has already been pointed out in the comments, there is already advice on porting from 2 to 3.
Having recently had to port some of my own code from 2 to 3 and maintain compatibility for each for now, I wholeheartedly recommend using python-future, which provides a great tool to help update your code (futurize) as well as clear guidance for how to write cross-compatible code.
In your specific case, I would simply convert all calls to unicode to use str and then import str from builtins. Any IDE worth its salt these days will do that global search and replace in one operation.
Of course, that's the sort of thing futurize should catch too, if you just want to use automatic conversion (and to look for other potential issues in your code).
You can test whether there is such a function as unicode() in the version of Python that you're running. If not, you can create a unicode() alias for the str() function, which does in Python 3 what unicode() did in Python 2, as all strings are unicode in Python 3.
# Python 3 compatibility hack
try:
unicode('')
except NameError:
unicode = str
Note that a more complete port is probably a better idea; see the porting guide for details.