Some really nice cards in these collections. Incredible pieces in all of those PC's. Nice work.
First off, What I would do first if you want to see who's interested, if you don't want to list every single card, is put up only the rarest cards first for a BIN/BO and see who bites. Who knows, a lot of collectors might have been waiting for a lot of those older cards to appear for years.
Listing everything separately is usually the way to go to maximize value, unless you know a player collector who will take it all from you, which is not as likely.
And If you really want them all gone quickly and feel like being a risk taker, gear up on shipping supplies, and let them all go to auction for a week. You just never know where the chips will fall. Some of those cards could surprise you.
And I have someone in mind for that Montoya Cup RPA. PM has been sent to you. 
