Is there a train from the airport in Brussels to Brugge?
I need a small hotel in Brussels for one night , any suggestions?

There is no direct train but going to Brugge is easy.
Take any train from the airport to downtown Brussels. Change at any of the 3 major stations in Brussels (Nord, Central, Zuid/Midi) for any train with destination Ostende or Knokke. There are at least 2 trains per hour, so you don't have to worry about making connections.
You get the ticket for the whole trip already at the airport's train station. Or get it in advance at www.sncb.be

I enjoyed my stay at Hotel Le Dixseptieme in Brussels. It is a 3-min walk from Brussels Central station, and a 3-min walk to Grand Place.
http://www.ledixseptieme.be/

Thanks Cowboy 1968 for your very helpful information.
and YK for the name of the hotel

Tadan, how was your trip? I have two days in Belgium on my way to a biz trip in Amsterdam and would like to do a day trip to Brugge.