Depending on how your career (or life) progresses, you may move around a bit from unit to unit or brigade to brigade. I've had friends at my old regiment that ended up like that. They moved between provinces and brigades, moving to different units to accommodate life circumstances.
Like the others said, I'd think long and hard before getting a logo tattooed on.
I know of a guy that got the CF tri-service crest tattooed across his back just as he was starting BMQ. A few weeks later, he decided it wasn't for him but now he's stuck explaining the tattoo unless he decides on a removal.