Pike Push-ups
A pike push-up involves lowering your head from a downward dog position until it touches the ground, then pressing back up to the start position.
It is a great exercise to put more emphasis on the shoulders and start building the strength required for a handstand push-up.
Decline Push-ups
The first progression after full push-ups towards the handstand push-up, is the decline push-up. By elevating your feet, more weight will go through the upper body, which will condition your body ready for the next progression.