Place the harvested flower stems on tinfoil/wax paper out of direct sunlight. Place them so they'll shed onto it. I would wait until the flowers have already opened, as otherwise they may just shrivel before they open. If they've begun to shed then collect immediately.
Storing....fridge? They're still respiring, so you'll want to limit the amount they do. Keep it wrapped-up like a note you received from the cute girl in class with a paper clip or envelope. Or if you have vials, etc.. be creative!
Do you have any data yet on the ideal stage of burr development for fertilization?
I haven't been able to keep good notes yet, but going by "instinct"
somewhere between pinky-nail and thumb-nail size looks best to me...
Before that seems kind of early and after that they rapidly Kafkasize into cones....