It's quite a long trip from Brugge, Belgium, so you are wise to make it multi-night. You might stay at a worthwhile nearby city, like Leiden. I can't imagine even an Ibis within walking distance, and if there were, you would have little choice of dining or transportation. But you don't have to ask us; the internet is your friend. Some people try to combine it with the Aaslmeer Flower Auction, but that's almost impossible by public transportation.
Keukenhof is very big compared to a city botanical garden. You have left your home country and city off your Profile, so we can't give you good comparisons. It is not huge compared to Huntington (CA) Gardens or Longwood Gardens (PA.) Visits are very, very crowded, so you should try to go on a non-weekend day. Investigate special bus routes (i.e. from Amsterdam and Leiden) as well as the local bus company. You'll have to queue for food or even a beer.
Don't go the first week. Regardless of the (unpredictable ... ) actual climate and weather, the perennial plants (as opposed to the bulbs) will not be vigorously blooming. But you certainly need to book your room in advance, without hope of making a last-minute weather decision. This attraction is worth the effort.
We went by car, on the way from the Hague to Amsterdam. So I can't give more transit advice.