Which of the follwing aircraft would you fly going from the East Coast USA to SE Asia....Would it be the 787 or 777 or 747?

If Flying in E+ which of the above on that very long route is best?

Which of those has the better BF seat?

Which has the best chance on a W fare to have the SWU clear 8 months out?

Lastly which Gateway city should we fly thru for the best odds?

We would leave from EWR,JFK or PHL but could connect thru IAH / IAD/ORD/DEN/SFO etc to get a better BF product or increase our odds to win the SWU lottery on the W fare.

Thanks in advance for your insight ^