[Question] Using a pitch shifter instead of alternate tuning

I would like to learn some songs in C tuning, and rather than constantly switching back and forth between tunings or buying a new guitar (don’t really have the money for it at the moment), I was thinking about buying a pitch shifter pedal. I was looking at the Donner octave pedal, but I wanted to make sure it would work right for what I have in mind. I’m also wondering what the difference is between the pitch-down and detune settings?