OK, I got busy blabbering about what *I* use, and didn't actually answer your question.
With what you have listed, I would use the bamboo fleece and bamboo french terry for soaker pieces. I would use the bamboo terry (if it is stretch terry) for the inner layer (next to the skin). The JoAnns fleece, if it's a polar-fleece type fleece, MAY be able to be used for diaper covers or AIO outers, but I'm not sure of their effectiveness. I haven't used that for diapers personally, and would be more inclined to make hats, mittens, scarves, and blankets out of the stuff.
For flannel....I love using flannel for AIOs - they're not supposed to be super-duper absorbent, because you have to have a thinner diaper to dry properly. I've had excellent luck with my flannel AIOs with just 8 layers of flannel in the center - I change every 2 hours, as you are supposed to do with any diaper.
I think your best bet for an AIO pattern to use up your flannel would be the Very Baby Very Basic AIO, as it is designed to be used with thinner cotton fabrics and the fit is really nice.
www.verybaby.com You can buy your PUL and hook-and-loop tape there, too. They have patterns that would be good to use with your other fabrics, as well.