Your moonface will go away in time. It can take months for some. It is a change in where the body stores fat....hence, moon face, prednisone belly, camels hump (neck/back). I had a big moon face and it went away over time as I tapered from many months at 60mg down to 15mg. The belly took a lot longer and I did not have a camels hump.
This is an annoying side effect but one of the most benign when taking corticosteroids.
Bill