Summarize:

Place a bucket or tub underneath the hot and cold water outlets you'll be hooking up to and run some water through each. This will clear any debris that might clog your valve screens.  Afterwards, make sure the faucets are turned completely off. Make sure you have enough room to navigate either to the side of the washing machine or behind it to hook up the water supplies. Most hoses only have a reach of a few inches; you may need to leave yourself room on the side to hook it up. Make sure the hot water hose is connected to the hot water faucet and the cold water hose is connected to the cold.  Many hoses are color coded, with red for hot and blue for cold. Others are not marked, so it will be up to you to remember which is which when it comes time to connect to the washer. The end of the hose that has a filter screen in the coupling attaches to your faucet. If the filter screen is not yet in the hose, insert one into the coupling before attaching the hose to the wall. The screens should be included with your hoses.  Turn the coupling clockwise by hand until tight. Then, with a pair of pliers, tighten the coupling by rotating it another quarter to half a turn. Do not over-tighten, as this may cause leaks. Make certain the correct hose is attached to the correct inlet.  The ends of the hoses with plain rubber washers attach to the washing machine. If the couplings do not have washers in them, insert the washers first, otherwise your hose will leak. As with the screens,washers should be included with the hoses if not already inserted. Tighten the couplings as in step 3. If hoses are leaking, turn off the water and double check that your couplings are tight and correctly threaded. The drain hose should screw onto the water outlet similarly to the water hoses. With some washing machine models, you may find it is already connected, so you can skip this step. Depending on your plumbing, you'll need to feed the hose into a drain on the floor, the wall, or into a laundry sink, or there may be a rigid pipe that extends down to a floor drain.  Your washer should come with accessories such as straps and/or a hook to help you secure the drain pipe. Consult the manual for your machine to learn how to use these parts correctly in conjunction with your plumbing. Make sure to leave a space of several inches between the end of the hose and the bottom of the drain or sink, otherwise your machine may siphon drained water back up the drain pipe.
Run some water through the faucets. Move the washing machine into place. Attach each of the water supply hoses to the faucets. Attach the water hoses to the hot and cold water inlets on the back of the washing machine. Turn on the water and check for leaks. Connect the drain hose to the washing machine. Run the drain hose to the drain receptacle. Plug in the washing machine and push it into place against the wall.