I take the last flight out of LAX in the evening, have a couple of glasses of wine (it's more about having a pattern of behaviour than the alcohol itself) and grab 2-4 hours' sleep, then get the Heathrow Express to my brother's place in Paddington, have a shower, and hit the town. By the time I come to on Sunday morning, I've no idea if it's jetlag or hangover that I'm trying to get over.
Westbound is easy - stay awake, and go for a walk when you arrive.