Eames: Which base should I go with?  

Still a Beaut'
The ol' Prince Charles, hardy har har-

Hmm...
My last name has 2 H's in it, so I'd go with an H base.

Base Ubiquity
I, like every single person in the world, love the iconic Rocker Base, but... I can't bring myself to order one for the shell I just had reupholstered.
They're just... everywhere. Maybe it's residual, "different for the sake of being different"-tendencies that remain from my punk-rock youth. I don't know.
You have no shortage of options, that's for sure. Either way, that's a great shell, and it'll look terrific in your home.
Cheers.

Base
Depends on what you will be using it for.... ?
Is the Prince Charles base still being sold by Modernica? I might get one just to be ironic and piss people off.