If you get the embouchure on the piccolo it'll stand you in excellent stead for moving on to the flute, because the flute is generally a more relaxed version of the piccolo embouchure. It is indeed probably more common to start on flute then get a piccolo, but you can start from where you are, rather than where other people might tell you you should be ...

Most of the advice in the best flute tutorial books (any or even better all of Hammy (S.C.) Hamilton's 'Irish Flute Handbook', Fintan Vallely's 'Timber', or Grey Larsen's monumental 'Essential Guide to Irish Flute and Tin Whistle') is eminently applicable to the simple-system piccolo - material for orchestral piccolo is not a great deal of help as the fingering and the whole embouchure is different, not to mention the types of music you'll be looking to play.

As and when you move on to flute you'll probably also go through a phase where you can't get the flute embouchure *or* the piccolo embouchure right, but after a while that will pass and you'll be able to switch instruments without thinking about it. The fingering system of the Dixon piccolos is exactly the same as that of a keyless wooden flute.

There aren't enough piccolo players around IMNSHO, so good luck and enjoy it.