
The tools I recommend to replace the fall, they include an awl, lacing fid, blunt nose pliers and a razor blade.

Slip the fall hitch and old fall through the eye of the new fall and slide the new fall up about 6' on point of the whip.
Slip the lacing fid under the eye of the old fall to protect the point of the whip from the razor blade. Use the razor blade to cut the eye of the old fall in half above the lacing fid. Pull the old fall out of the fall hitch away from the point of the whip.

Insert the awl in the opening of the fall hitches as shone to enlarge the opening and prepare a channel for the new fall to be inserted through. Remove the awl in preparation for insertion of the tip of the new fall.

Insert the tip of the new fall in the channel enlarged by the awl by hand and push the tip of the new fall through until you can grab it with the blunt nosed pliers. Use the blunt nose pliers to pull the new fall through about half its length.

Apply leather dressing to the remaining length of the new fall that has not been pulled through. After applying the leather dressing pull the fall through until the eye of the new fall is flush with the fall hitch.

The completed fall installation should look like this with the new fall snug to the fall hitch and your done.