Let's Get Moving Canada

The moving team was professional and courteous, BUT- the move took MUCH longer than was suggested when they quoted the job... 8 hours longer! My belongings were horribly damaged in storage. I spoke to the company and they offered to refund a portion of my moving cost, but if I accepted the money I would have to sign a non-disclosure. I felt it was more important to warn potential consumers of the hazards of engaging the third party storage company they use.
This is a list of missing and damaged items:
Missing:
-2 wooden boards (bed slats)
-3 glass shelves for curio cabinet

Broken:
-Bow front dresser leg
-Side table: foot snapped, leg dislocated
-Bench knob chipped
-Lamp cord
-Toilet brush
-Wooden guitar (decorative)
-Christmas wreath
-Wardrobe top
-Paper lamp
-Laundry stuff
-Bins and tubs (dented, cracked)
-Boxes (dented, pushed in, water damaged, rips and tears in them)
-Brown bottle
-green storage case
-Noah’s ark (elephant head)
-glass candle stick (3rd in a set)
-small mirror
-gift box
-AC duct
-angel smashed
-prop figurine
-ceramic bowl
-soap dish figurine
-stained glass cat
-votive glass
-cat angel ornament
-mug
-bowl
-drinking glass
-metronome
-plastic cutting board
-wooden picture frame
-tea cup
-microwave cart
-kosher salt box (crushed)
-glass canister lid
-wooden table
-crystal bottle (antique)
-chipped green bottle lip
-mask (crushed)
-over the door hanger bent and broken
-cement base to standing lamp smashed
-2 cream mugs: handles snapped
-Incan mask
-replica wand
-lavender gift pot

Scuffed/damaged:
-DVD cases x4
-bookshelf sides
-dresser top edge
-telephone booth
-candle
-chair legs
-aerosol can
-dining room table top
-white table legs
-red leather chair: corners scuffed and worn down from dragging?
-piano bench: pin from hinge missing and 3 legs loose (and it was wrapped in plastic!)
-black picture frame
-curio cabinet front edge
-piano front edge (plus there was a ton of what looked like sawdust when I removed the plastic wrapping)

Issues:
-several large items that weren’t mine were included in storage and move: why was I charged for storage space and moving (loading/unloading) time for large items that were not mine.
-who exactly moved my belongings into storage?