Genuine answer is that you need to get a feel for when the clutch begins to bite. The rest of it - when to use the brake, handbrake etc, is going to depend on what you’re doing. Learning to feel the clutch is the critical skill.
The way to learn how to use the clutch is to start on a flat piece of ground with no traffic around, like an empty car park. With the engine running and the brakes off, press the clutch pedal and put the car into 1st gear. Then, slowly release the clutch pedal without using the throttle. Practice this until you can get the car moving without stalling the engine, and you’ll have a feel for it.
When starting normally you’ll gently press the throttle as you do this. Cars usually idle around 1K RPM, use the throttle to maintain about 2K RPM for a normal take-off.
Then all the other skills will fall into place. The key objective is that you should have the brake engaged until the moment the clutch engages and is ready to take control, then the brakes should be smoothly & quickly released.
You can do this with either the handbrake or the foot brake, but if you’re using the foot brake you need to be manipulating the clutch, brake and throttle at the same time.
That requires pressing both throttle and brake with the right foot, which is a more advanced technique, but very useful for smooth driving in a lot of situations. It’s often called “heel-toe”, but that’s misleading. You don’t use heel & toe, you use the two sides of your foot.
Cooking up charges and rigging a court case specifically to take you down is a different level of hate though.