Note that I never signed anything in my lease forbidding me to have a washing machine--you might want to check your own lease for details. Also, my downstairs neighbors are cool with their dishes rattling when I do laundry.
Step 1: Extension Hoses
I extended the drain hose with 1-1/4" ID braided tubing--it is a friction fit around the outside of the drain hose (see the second photo). I secured it with a hose clamp. This works fine with a corrugated drain hose; I'm not sure how well it would work with a smooth surfaced hose.
Step 2: Sink Connection
I've found that hand-tightening the adaptor is about right--overtightening with a set of ChannelLocks makes the rubber washer squeeze out of its correct shape, causing a leak.
Adaptor gets connected to the faucet. Hose gets connected to the adaptor. Knee bone connected to the shin bone.
Step 3: Connection to the Washing Machine
Note the hose cap on the unused hot side. This is actually important. The solenoid valves have enough slop in them that there is some leakage out of this connection, even when you're just running the machine on cold. Yeah, I found this out the hard way.
Step 4: Finishing Setup
Make sure all the connections are tight; turn on the water to the temperature you want it. Fire it up, and do your laundry!
Note that if you wanted to do a cold rinse, you will have to change the faucet settings mid-cycle.
Step 5: Wrap-up
Step 6: Wrap-up, Part Ii
Yay! Clean underwear!