Choose the route order before booking hotels
For most first-timers, London to Paris to Amsterdam is the easiest order from the UK. Start in London if you are already arriving there, take the Eurostar to Paris, then continue by train to Amsterdam. The reverse order also works if flights are cheaper into Amsterdam or if your return flight leaves from London.
Avoid making this a loop unless flight prices strongly justify it. A one-way open-jaw route usually saves time because you do not need to backtrack to the first city. That matters on a seven to ten day trip, where each hotel change already costs energy.
Keep the route simple: three nights in London, three nights in Paris, and two or three nights in Amsterdam. If you only have seven days, trim the city lists instead of compressing each day. A crowded route can look efficient on paper but feel like a string of station transfers once luggage, check-in times, and tired evenings are included.