I only used the Saphir wax for the job. I was using the Allen Edmonds polish before (the one in the tube with the sponge applicator thing), but I found that the AE polish just wasn't giving the shine I desired. I ordered the Saphir Wax and found the difference to be like night and day.
I apply a little bit of wax to the shoe with a cloth, then dip the same cloth in a tiny amount of water. Add a bit more wax and rub to the now wet cloth onto the shoe. I use another cloth to get most of the polish off. Then I use the saphir buffing cloth to bring out the deep shine. Finally, I get some nylon pantyhose and give it a good once over.
Saphir products are amazing.
I use nylon pantyhose for the final buffing when I make dorodango. I had been wondering if it would work just as well when polishing leather. Thank you for answering this unasked question of mine :)