we went straight through last time and it was tough... but over and done with. Depends on the support you have at the other end too, consider how YOU will feel When you get there, it will likely take the best part of a week for the kids to sync in , so i would say do whatever you need to to make sure you are as rested as possible, cos the kids will just do what they need to as they need it. You may have a few 3am starts, sorry!
My bff has an adorable pic of her 3yo sleeping in transit, in an airport trolley. He slept there for 3 hours and was carried onto the 2nd plane, where he slept another 6 hours.
as for games, the biggest hits with our girls (just 4 & 2.5yo) are cooking games, dunno the names but look for cupcakes/pancakes/baking games, colouring/drawing, and matching games (looking for pairs).