Wouldn't it be inconvenient to unload it if it wasn't near all the cupboards and drawers? For all the backwards and forwarding you may as well just wash them by hand.

I am pretty sure I have seen double adapters for the taps. I guess you would have to connect to the drain under the tub. Is there a cupboard under the tub? Would the landlord mind having a tube sized hole in the side of the tub cupboard?