Step 1: Preparation Is Key
A honeydew melon (for carving);
A bowl (for standing the melon up in);
A pyrex dish (for keeping the delicious melony flesh in for later munching);
A pen (for drawing on the melon with, so a fountain pen is a bad idea);
A knife (for incisions);
A melon baller (for rapid melon flesh removal);
A spoon (for removing seeds, and for slower/more controlled flesh removal).
Step 2: Use Tools to Reveal Inner Cavity
You might like to use a pen to draw lines to follow. This is really satisfying, but not quite as satisfying as writing on a banana with a ballpoint pen.
Step 3: Hollow Out the Melon
Melons have thinner skin than pumpkins, so don't make any hurtful jokes. Also, be aware that your melon baller could damage the skin from within, so as you get close to the skin, switch back to the spoon to smooth off.
Due to the intense juiciness of a honeydew melon, you might find it helpful to rinse out the innards once this stage is complete, and pat the inside dry with a little kitchen towel. (I know I did.)
Step 4: Make Like Michael Jackson's Surgeon!
With the pattern drawn, start cutting out with your knife. Your knife is sharp, so you might want to get your grown-up helper to do this for you.
Step 5: Get the Candles Out, Ma!
Place in a darkened room and admire the wonderful yellow glow.
Finally, feed your cat pieces of melon.