When you go to use the FP+ kiosk, you can "group" all of your tickets together at the start so that you reserve times for all of them at once. And since you are making your three FP+ selections for the day all at that time, there's no need to race around the park collecting paper FastPasses. Just one visit to a FP+ kiosk with everyone's tickets does it all.
Depending on how far in the future your next trip is, you might even get access to pre-selecting your FP+ before you arrive, though Disney hasn't made any specific statements about that kind of a roll-out. But you can do most of the setup work right now by making sure that everyone has a profile set up on the MDE website (or at the very least one "master" person has sub-profiles set up for each person under their account), and then each separate account-holder "friend requests" each of the others so that you can see each others plans and make FP+ reservations for each other, if given that access. (You'll also have to link your tickets to those profiles when you get them)
-Rob