Thanks everybody.
While a night at the Hilton won't plunge myself into bankcruptcy, I'd prefer a more budget-oriented option, as I only need a room for a couple of hours of sleep. And I don't need any fancy bars or restaurants, a park bench for a canned beer and a cigarette at night will do it
I'll travel with a medium-sized bag only, so I wouldn't mind to take the metro or a train a few stations off the airport.
Malmoe sounds like a good alternative, will check out that.