Bionicle was my childhood as well. I don't have any experience with or much advice to offer on making armor, other than to look for tutorials on making it on Google or YouTube. It seems like EVA foam would be the best option, and I'd use clips to attach each armor piece and wear a black one-piece suit underneath it. I really hope this turns out well, and can't wait to see any progress you make.
Also, I was looking at Iron Man armor tutorials this morning, and came across this very detailed one:
You might find it helpful.
Recently completed: Shay Cormac (AC Rogue), Jacob Frye (AC Syndicate)
In progress: Mako (Legend of Korra), Bucky Barnes (Captain America: TFA), Spike Spiegel (Cowboy Bebop)
Planned: Big Boss/Naked Snake (MGS3), Roy Mustang (FMA: Brotherhood), Jon Snow (Game of Thrones season 6), Arno Dorian (AC Unity), Mal Reynolds (Firefly), Steve Rogers (Captain America: TFA), General Hux (Star Wars Ep VII)