What is the best self-fitness/training method without equipment (especially at home)?

Neck movement exercises, moving the shoulders, Work on bending back and return to the concavity of a top-to-back, move the hips and legs, doing for the chair, payment against Desk exercises, squat session exercises, lift the legs while sitting on the chair, tensile exercises with the hands placed behind the head, chest pressure exercises, Extension exercises leg and arms, up-and-down stairs without using the elevator and escalator.

You can walk, run around the house, the ups and down stairs several times, dance sports such as dance Alzumba, the use of devices and gym equipment at home such as Sir device and sports bike,

 Performance of some aerobic exercise, such as easy-leg, back, arms, abdomen and squat exercises, you can use the trampoline, raising and extending the arms and legs, jumping rope, lifting weights by tins cans and empty bottles, playing ball with the kids.

Sleep early & wake up early.. control your diet & you can have a walk in the morning..

you can do chin ups, push ups, squads & roping..

There is only one condition that you must be regular...

For women dancing is the best sport at home

For men and abdominal pressure

For both sexes sport jumping rope and warm-up

You can work from home with metabolic exercise.

You did not get a good evolution in the sense of strength, because it does not have the weights of the academy. However it can work with its own weight exercises that activate the stabilizing muscles, can work force resistance, can work localized aerobic resistance.

do simple yoga and streching excercises

try to release and move our body so that our muscles can get the right movement. we can run and walk for sometimes that will give a good stamina. adding to that try little pushups and pullups as much as possible. that pretty much for our busy schedule.

Running and taking few minutes aerobics to boast you up for the day. Another simple exercise that involves the whole body is dancing. In Africa ,you can find songs that can make you dance and sweat you up within some few minutes. 

In terms of Cardio, you want to keep it to outdoor cardio. It may include walking for about thirty minutes or twenty minutes of jogging. If you are indoors then you may want to consider High-intensity interval training. For your strength and conditioning, the best way to maintain is bodyweight exercises including pushups and squats

Streching, yoga, dance, zumba, HIT workout, all king of workouts are good and all kind of movement they are a way of workout but in a different way... and you can find so many workouts on internet special for people that train at home without equipment...   

All depends on what you like to do... what is good for you and what really work for you .. 

Walk  one hour and  if you Run /jog 45 munites and sleep 8 hours, Drink 2 L water. Eat healthy food nothing more nedeed

With available space, walk or jogging considering the age and health status based medical advice. More so, use of skipping rope aerobics exercises and engaging in flexibility exercises tailored along some principles of trainings - Duration, Intensity and Frequency), good to go.