I play alto saxophone, piano, ukulele, and guitar. I am wondering if it's possible to take up piccolo as well, without playing the flute. I plan on taking lessons, as there are teachers in my area, but I don't know if I should start on flute first because I know piccolo is an extension of flute. I don't plan on playing it professionally, just for fun. Thanks a bunch!
From the perspective of a music educator: the flute would be much easier to learn proper embouchure fundamentals on, as, with the lower pitch, it's more more forgiving. During my college days, I picked up the flute quite quickly, but I had a difficult time achieving a good tone on the piccolo. That said, it would not be impossible to learn on it's own, just more difficult.
You can find cheap flutes at pawnshops or on craigslist. You may try picking up a cheap one to begin on. If you get a used name-brand student flute and take care of it, it will retain value well. You could then sell it when you buy your piccolo, or just keep it around.