How can you see the back of your own head without left/right reversal?

I cut my own hair. Label me a cheapskate if you wish. I claim it’s because no barber or hair stylist could ever catch on to what I want in a haircut. They invariably try to taper it smoothly in back, even after I tell them not to. When they do that, I end up with a shelf where the ever shorter hair begins to stick straight up, and the longer layers above it are held up forming a cliff edge. It looks terrible. I need something much more like a Beatles Bowl cut, but with just a hint of tapering so it isn’t one sharp-edged shelf in back.

It’s easy to cut the parts I can see in a mirror, but holding a mirror in front of you and aiming it at a large bathroom mirror behind you ties up one hand, and it also reverses things such that it’s hard to figure out which way is left and which is right. If you haven’t experienced this, try it and see.

How can I see the back of my head yet keep both hands free and eliminate the right and left confusion?