There are basically two places to stay in Kangerlussuaq, the airport hotel and Polar Lodge. The hotel is a bit more upmarket and a lot more expensive. We would have stayed at Polar Lodge except that it was fully booked out, mainly by tour groups, both times we were there. It seemed perfectly adequate to us and this is really just a one night destination. The only two things really worth doing at Kangerlussuaq are the tour to the ice cap (a MUST do if the weather is fine) and dinner at Restaurant Roklubben or the "rowing shed" as some call it. We stayed at the hotel with pretty low expectations and it was actually better than we had expected. It was clean, it was convenient (despite the interminable corridors) and it was perfectly comfortable and serviceable. If your schedule is such that you would need to stay two nights to do the ice cap tour, then do it, but that is it. You would have to fascinated by watching Dash aircraft land to stay any longer.