Mix a cup of baking soda, about six tablespoons of hydrogen peroxide, and a teaspoon of dish soap into a goopy paste. Coat the pan, wait an hour, and scour — the alkaline mix activates the peroxide, which strips the polymerized layer chemically instead of by elbow grease.
Fruit flies come for fermenting yeast, and the biggest fermentation source in the house is the gunk in your drains — which is why the trap-and-toss routine never ends it. Cover the fruit, trap the adults with a vinegar-beer-banana mix, and pour enzyme cleaner down every drain overnight.
The adhesive on price stickers and jar labels is rubber-based, which is why soap and water barely touch it. Oil dissolves it — spray or dab a little on a paper towel, rub, and the residue lifts clean.