I received a comment asking about how to use a paddle with a vertical warping reel. In my Book #1, Winding a Warp and Using a Paddle I do discuss this. Here is a clip from the paddle chapter.
WHERE TO PLACE THE PADDLE
You want the paddle to be easy to reach, so when you get to the lease pegs, you can easily make the lease and put it onto the pegs.
Other than being clamped to something
approximately at the center of the warping
board as in Figure 118, below, the paddle can be clamped to the bottom of the warping board itself if the height of the board is convenient for you.
Clamping a paddle at a height close to the
pegs on a reel is shown in Figure 119a.
Clamping it to the back of a chair works well, too. See Figure 119b.
Also, see below where to place the paddle at a warping board.