So you'd pay $225/hour of sleep?
Say what? I can get there in business without paying an extra $225 per hour... On BA.
And connections are a PITA with little kids, which you'll learn soon enough.
Except BA rate is dead. And connections are a PITA
FTFY, only place where it's easy(er) is within the US between flights where no security is needed
+1 especially heathrow