Portable dishwashers, including those made by Danby, use a faucet adapter that connects to a regular sink faucet. The water fills the dishwasher through one hose, the cycle runs, then the water drains through a second hose down the sink. It's pretty easy. All you have to do is make sure the adapter is connected properly so everything runs smoothly.
Portable dishwashers will fall into two categories; countertop, and console. Countertop dishwashers are smaller, about the size of a microwave, whereas console dishwashers are vertical units about as tall as a kitchen counter, and usually have wheels to move around more easily. Console models are useful in that they create countertop space rather than use it, so they can be more space-efficient than their size would imply.
What's also great about these sorts of appliances is that they reduce water consumption, due to more efficient use of water compared to hand washing. So not only will it be a greater convenience, but will reduce your utility bill and resource consumption as well.