We enjoyed our stay at Nest hotel. First, we can leave the luggage as we arrived in the morning, but we are allowed to check in at 3 pm. The room is fit for 2 people with lugguage. Very close to Hakata Station. Room is very clean and staff is helpful although we need to use translation machine :)
Upon the check in, we were asked to pay the hotel fee and our whole stay by credit card (which is fine) the important thing you should know is it is better to pay in Japanese currency NOT your own currency (the hotel suggested us to pay in our currency but apparently its more expensive than paying in Yen)
Anyway, we would recommend this hotel. The location, staff, room, amenities, etc are great!