Cool. Please post results when you get it working!
*Just remember, if you change any settings in the GPS module (baud rate, update rate, etc...) you will need to keep the backup battery installed in order to keep those changes saved when the GPS is not powered. Otherwise it resets to factory default settings.
Please forgive my hyperanthropomorphization.
Every answer reveals new questions.
And, yes... there's always a better way to 'do that'.