The change prepares the other starting foot
Here, left-footed or right-footed refers to the first foot of the leading partner. In a left-footed change, they start by stepping forward on the left, and in a right-footed change, they start by stepping forward on the right. The following partner starts by stepping backward on the opposite foot. The names therefore apply to the figure danced together, not to the same starting foot for both partners.
Closed means that on the third step, the moving foot comes next to the standing foot and takes the weight. Simply tapping the foot would not prepare the next step. The foot that was previously bearing weight only becomes free when the weight is transferred. You dance one step per beat: one, two, three. In English step descriptions, the figure is called Closed Change.
To get started, practice the changes without adding a turn. Small adjustments in direction are part of leading and managing space later on, not a forced turn of the feet. The connections here specifically refer to complete, six-step basic turns, not to arbitrarily cut-off halves of turns or other exits.
The Waltz learning basics cover both Waltzes. For context on how they connect with other figures, see the overview in Figures and music in Slow Waltz. The task here remains simple: dance one change cleanly and continue with the correct foot.

