Oranges are the perfect snack for me. Fiber to satisfy the hunger, juicy enough to not leave me thirsty after, and most kinds are easily peelable by hand so no washing required!
I finally got the chance to do this recently. It's true, it really takes the stress out of eating an orange. You get those bits under your fingernails and juice running down your chin and arms and it doesn't matter because you can scrub it all off immediately.
The ONLY downside is not knowing where to put the peel if you've gone for a mandarin orange. Or forgetting to dispose of the skin after your shower so your roommates find it and ask you questions. Although once you explain the concept of a shower orange they usually are very accepting. We live in a very tolerant era for shower oranges, all things considered.
My order of preference is mandarin oranges, clementines, and tangerines, but even navel and blood oranges can be peeled by hand and the only mess they leave is the oil from the skin. In general as long as you don't break the segments you can avoid a mess.
I think citrus fruits that really stick to their rind are not as ripe as they could be. Any if the smaller fruit like tangerines, mandarins etc usually pull apart from the skin easily and the segments pull apart too so it's not too messy. Winter is citrus season so if you look at like, specialty stores or whole foods around February there should be a bunch of different varieties of tangerines
I use the "mouthguard" method. Cut in half vertically splitting the navel. Cut each half into 4 slices horizontally. Pop one of those bad boys in your mouth and smile like an idiot 😆
Oh, that brings back memories... As a kid I used to take a large slice (1/6th of an orange), eat it like that, and then cut monster teeth into the slice before popping it in like your method, then chase my parents who would pretend to be scared.