If you have any interest in true body control and are desiring free-standing handstand skills, then I will tell you right now that mastering handstand pushups and getting strong will help, but it won't get you the rest of the way there unless you spend many years of trial and error on it or have some superhuman talent.
The video above shows just one exercise I'm working on that I got from my trainer. Even though I was pretty strong in HS work I had a hard time with these at first. Now I'm getting them. You must open the chest and shoulders and develop the anterior chain....among other things.
And as I said before, pick a skill and don't spread yourself too thin. Next stop- Mats!