Ah...the looking down thing. I do it too..lol
One thing I like about the indoor arena at my barn is we are lucky enough to have mirrors in two of the corners on the north end. The other end does not. But they are a great tool to see what you look like and what your horse looks like. Especially during a lesson when your instructor points out that you and your horse are doing something correctly. Thus, the next time your practicing you can try to simulate the look and feel of what you were doing in your lesson.
How exciting for you and cannot wait to hear more!