I have your answer. First, to peel an apple I feel very strongly about this old fashioned kinda peeler. The head swivels easily around the apple, it works a charm and costs nothing (I won't use those stiff newer ones, and I don't like the U ones because they don't give you the same kind of control and dexterity).
It's a melon baller. A melon baller played a very important role in my nursery school years (there were 2 of them. I started when i was 3, finished when I was five, and split half the day in kindergarten. This was not because I was particularly smart but because I am and always have been tall.) Anyway, I was forever forgetting what day I needed to bring something in for show and tell (once I plucked a daffodil at the last second from the garden, and once I brought my sister and everyone fought over who got to play with her). On the way out the door one morning I said to my mom: show and tell. She handed me a melon baller. I won show and tell that day.
But here's the beauty of this thing: it is strong and sharp and is the perfect size for cutting out the hearts of firm apples. For slices for pie or tarts, just peel your apple, cut it in half from stem to stern (not across the equator) then dig out a circle of core on each half. You'll get almost all of it in the first pass. Next, dig out the little core veins that remained. The whole process will take you about 15 seconds, and there will be no juice on your arm. Then just slice and go.
If you need to leave your apple whole, say for some gorgeous pastry-covered baked apple, then just dig down from the stem end, cleaning out little circles as you go. You can hold the baller perpendicular to the apple and just drill in, like they did the Chunnel. Repeat the process from the bottom up. It should take no more than 2 balls on each end to make that thing as clean as a whistle.
I made some baked half apples using this method last night -- glorious. Peel, halve, and core the apples. granny Smith are good whenever you are going to be baking because they are tart and hold their shape. Honey Crisp are good too. Lay them cut side down in a cake or lasagne pan. Sprinkle them all over with sugar -- I used a large (actual) tablespoon (as in one you would serve at the table) and gave them a nice coat. Dotted them with a fair amount of butter. Then I grabbed a very expensive bottle of bourbon and gave them a little shower -- not too much -- there shouldn't be any depth. Just enough to give the sugar something to do when it falls off the apple. Then a shake of vanilla extract, and a wee sprinkle of coarse sea salt. Put them in a hot oven -- about 375 -- till your house smells delicious.
(this apple image lifted from gourmet.com)There will be shallow puddles of thick, clear caramel around them when you take them out of the oven. Tilt the pan and with same tablespoon, scoop up what gathers and pour it into the apple cavities (oh, right. Flip them over halfway through so the round side gets a caramel kiss, too. ).
Eat with ice cream or cookies, or if you feel fancy make a deconstructed apple pie by baking up circles or scraps of pie dough sprinkled with cinnamon and sugar, and serve in shards along side. It's very gastronomique.
(Had a fabulous deconstructed white peach cobbler in Paris at Spring restaurant a few years ago. A white peach was I think roasted with a littel vanilla till it was just tender. He made an oat cookie of sorts and broke that up on the side. Served it all in a pool of reduced fresh peach juices with a daub of thick whipped real cream. heaven. I've tried to make it myself with only middling success. His white peach was just perfect.)
Anyway, deconstruct desserts and wow your friends. The end.