Flip the bottom note to the top
C-E-G is root position. Move the C up an octave: E-G-C, the 1st inversion. Move the E up too: G-C-E, the 2nd inversion.
Pros rarely jump between root-position chords. They pick the inversion that's closest, so the hand barely moves. C to F becomes C-E-G → C-F-A: only two fingers shift.