Transatlantic flights usually land early in the morning. So, we're tired from travel and can't check into our hotel until 2PM (or 3PM).
Just got back from a trip to Geneva. Landed at 7:00 in the morning. Drove to the hotel and dropped our luggage. Would have loved to shower and take a nap, but check-in time wasn't until 3PM. (And they wouldn't budge).
I scour the internet on Matrix ITA mainly looking for budget airfares. Low price is not necessarily the best value in all cases. I pay close attention to time in the air, time on the ground making connections and especially what time we arrive in Europe.
I've long ago given up on those 6:30 a.m. arrivals when I know it's going to be 2:00 p.m. before I can check into the hotel. Later outgoing flights to popular destinations are usually available.
I also pay close attention to the airports I fly out of and the airports connections are made thru. We can get American Airlines non-stop flights to London from Nashville and Nashville is one of the less expensive airports due to having 3 budget airlines.
Last trip, we flew out of Huntsville to London (to save $) making connections to London in Charlotte. They tried to send me through O'Hare which is an airport to avoid. If you fly Delta, they often try to send you to JFK--another airport to avoid like the plague.
When planning trips, I look up European Airports on Wikipedia to figure out what airlines go where. And I'm always looking for budget European airlines' flights too. This is especially useful when I'm traveling around Europe--avoiding trains over 3 hours.
European airports are now experiencing staffing problems, and even the previously great AMS is having flight delays, etc. There are some airports that I do try to avoid in Europe more than others.
When flying home from Europe, the cheapest airfares will often put you on a 6:00 a.m. flight out. The traveler will just fly to a larger European gateway airport where they will sit around until mid-day or just after noon to catch the non-stop back to The States. It's bad enough having a long travel day--and even worse when you have to get up at 3:00 a.m. to make that 6:00 a.m. flight. I refuse to fly out until after 9:00 a.m.--and get the same airfare usually.