I am 5'6" but have relatively short arms and legs. For me, my kitchen table is the right height for me to cut on. My taller/longer armed friends often find that kitchen counter is the best for them. I do cut standing up for a number of issues. One is those short arms again, the other was when I was a larger person my tummy would want to get in on the action and move things about... I can do subunit and block trimming while sitting -- all others, especially the full long across fabric widths I do standing.
My sewing table is height adjustable, currently it is set lower than I like because my machine doesn't fit well in the cut out and so is on top and not in the opening. For me, the table is just a tad too low and my back starts complaining after a bit.
I don't find the different cutters/handles make much of a difference to me.