ryr737,
I'm ex-EZY, am now BA and have flown LGW 737 since 2001. OK, I left EZY in 97 so it's probably changed, but BA is much easier (no pun intended).
As for the 777, people seem to be getting off it ASAP in favour of the 400 so moves to the 777 from SH seem quite quick. 2-3 years.
Loads of people commute on LH. Lots do it on SH too but that seems a bit of a nightmare to me.
Noone seems to know what the retirement age change in 2006 will do to commands and fleet moves though.
Hope this helps.