Lay the box spring face down on the floor. Measure the length of the box spring, and find the middle or center.
Find and cut the dust cloth down the middle of the long end of the frame with the utility knife.
Cut a straight line up the width of both sides of the box spring fabric. This will result in a cut from the top seam, along the dust cover, to the opposite seam.
Locate the cut line you made in Step 2, and cut the wood framing at this point with the hand saw. Find the wood framing on both sides of the box spring, and cut the wood along the cuts you made in Step 3.
Lift the box spring up onto its side. Set the top side of the box spring up against the edge of a door frame.
Have two people stand at each end of the box spring. Push down from the top to start folding the box spring in half.
Wrap a rope around each end of the box spring to keep it folded. Tie the rope tight enough so there is no movement of the box spring. Move the box spring to its new location.