Unless you plan on pressing or planging or muscling yourself up to a handstand like the girl in the video wordsmith told you to watch does, then muscling is something you want to stay away from on bars. Muriel Grossfeld in the 50's may have benefited from strength conditioning for the moves and holds that existed back then. But these days if you plan on using strength to accomplish bar routines then I doubt you will get past half a bar routine without getting fatigued. Where I work elite coaches understand that if you are going to get through a bar routine then every move has to be effortless and weightless. Having to use strength to muscle bar moves is just bad science.
If you want to get to a handstand from a cast then lean forward over the bar and throw your legs up so fast and so hard that you fly up without any hint of muscle in the equation. Land in the handstand weightless and get ready for the next flight move. Period.
Bars is about speed, timing, balance, direction, position, flight, power, etc.
Work on power and speed foremost. Power to cast like a rocket. Speed to cast like a rocket. Power and speed to kip like a weightless cloud. Power and speed to do bars.