The C Major chord family compises of C, F Major and G Major. I would like to comment that F Major chord, and the second variation of G Major is a bit difficult to play, so do not get frustated it will take long to put all the fingers on the Fret board to play chord F as well as the second variation of G major. C is comparatively quite easy to play.
just play a rythm as 1 - 2 - 3 1 - 2 - 3 and try the C Family.