I want to start a proper workout routine. So far the only ideas I've had have been: light stretching > 25 squats > 10 push-ups > 5 pull-ups > 50 using the things in the image.

Then I'll repeat the squats to the hand strengtheners 3 times, followed by stretching, again.
I'm not sure if this is a good routine, so please correct it as needed.
The goals I've got so far are:
Exercises15 push ups -
10 pull ups -
10 chin ups -
Skillsspeed vault (with good technique) -
monkey vault -
kong vault -
squat with proper form -
climb up with proper form -
handstand -
roll (with improved technique) -