First of all check your lease to see if a washer is even allowed. There have been quite a few people who have purchased washers for apartments only to be told that they have to get rid of them for either water usage of potential flooding issues.
I know some portable washers have a connection on the end of the hose that can connect to the business end of the faucets.
Just roll the machine up to the sink, connect the water hose and start washing.
Since the Bosch Axxis models are so heavy, I think you would have to have it permanently installed. Then unless you are on the ground floor there is the vibration issue for the people below you.

I don't recall the brand - but I loved one stacked washer/dryer in an apartment complex I rented awhile back. It fit in at one end of a regular bedroom closet (not a walk-in), which was great because the doors hid it. It was also quite quiet. I would definitely check for quietness before purchasing one. Also try to screen out underpowered ones.