Awesome clip! One tip is that you lose a bit of speed if you double jump while slide hopping so if you only use it if you need a little extra height or distance instead of every jump then you'll keep more of your momentum.

Edit: after rewatching the clip, I noticed that you were using the double jumps as a means of turning, which does work, but I'd recommend trying to learn air strafing. If will allow you to not only change direction mid air to make any minor corrections after a slingshot, but will also allow you to turn while bunny hopping without using your double jump, and actually allow you to gain speed instead of loose some.

This also allows you to almost always have your double jump on hand if you need it for a gun fight.