Planche Or Handstand Pushups

When I workout I do handstand push-ups and then work on my planche should I do it the other way around?

Well, I say work whatever is harder first. If you can't get good work in on the second thing, then just do it the next day.

I generally do statics(not to failure) first in the workout as they don't fatigue me as much.  However if you are ever going to do something to failure do it after something else that you deem a more important goal.