I’m planning a little adventure. Flying from London to Amsterdam, then somehow travelling from Amsterdam to Brussels. Then from Brussels travelling on to Luxembourg City, and then flying back to London.

Could somebody please tell me the cheapest way to travel from Amsterdam to Luxembourg City via Brussels? If there is a really cheap way that takes a long time any slightly more expensive but quicker alternatives would be welcome too!
Obviously I would prefer it if nobody suggested walking, hitchhiking, stealing a car etc as the cheapest way to get between points!

I agree with the first answer. Cheaper options include taking the Eurolines Coach but it’ll take hours whereas the train from A’dam- Brussels and Brussels-Lux will only take around 2-3 hours.