Actually I'm not planning to have loads and loads of luggage. I'm only going to have my purse, a weekender carry on bag, and one large rolling suitcase (which I will probably have to lug on the tube when I get to London also). Even after explaining how costly it can be to ship stuff, my sister offered to ship anything extra I might need once I get to London. I plan to have her ship (probably with only a few other things) a duffle bag I have that folds very small and flat, but is durable, to me so that I have something I can bring stuff back in later.
As for other times, my friend recommended me a red-eye that Jet Blue has from Phoenix to JFK that gets in at 7:30AM, and then there are options all over the board.
3:30PM
5:39AM
7:30AM
11:47AM (but this one is miserable. It's a red-eye that comes in overnight to Charlotte NC at 6:17am and has a 3 and a half hour layover before it leaves at 9:40AM and gets in at 11:47AM to JFK. I would prefer to avoid this one if at all possible!)
Most of all the other flights are all around 5:30PM, and then there are a lot that come in late (like 11PM), but she said that she would prefer me to arrive before 8PM if possible since they have a baby.