Before you pull the old hose out (through the under sink cabinet) drill a hole in it and attach a line at the tank end. If the hose jams, you can pull it forward again to release it. Then attach the line to the new hose and use it as a guide, have someone pull gently while you push from under the sink. That way the new hose will not go where it wants, but rather where you are guiding it. Use enough new hose length so that you can cut off the few inches with the holes in it. Yes two holes so that you can arrange the leed line to be in the center of the hose. Some tape, creating a cone also helps to guide the hose.
Might help to spray outside of new hose with silicone or Teflon. Warren