Vermicomposting, or composting with worms, is probably the fastest way to compost your kitchen waste. Worms that you catch after a rainstorm are usually dew worms while worms you purchase for a compost are red wigglers. The difference between red wigglers and dew worms can make a big difference for your worm bin.
If you have the time you can make your worms move into a new bin, on their own, with minimal effort on your part. This method takes a while but the amount of time you spend doing it is minimal.