I need to travel by train from Lille to Brussels on Monday, April 14th. Then I will proceed to Bruges the next day. Three days later I will travel from Bruges to Amsterdam. Should I buy separate tickets for each "leg" of the journey? What is the best way to check schedules, prices, etc. In Italy I have found that it is easy to book online and to do price comparisons through trenitalia.com. Is there an equivalent for these Belgium and Amsterdam travel plans? Thanks for your assistance.