Moving stitches to a stitch holder

When moving stitches to a stitch holder, what is the proper way to do it? Do you do it as you would move them to another dpn after casting on? Do you just run the stitch holder through them and not worry about how they’re placed, so long as they go on the needles properly when you put them back on the needle?

I’ve managed fine, but was wondering if I’m actually doing it incorrectly or if there is a proper way that I’ve missed.

I’ve always moved them as I would move them to another dpn by slipping the stitches as if I was purling the stitches.
I don’t think there is a right and wrong way of doing it just watch how the stitches go back onto your working needle so they don’t get twisted.